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Finding the Third Proportional to 585,017,625,040 and 823,833,730,368

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Solution

The third proportional to 585,017,625,040 and 823,833,730,368 is: 1,160,139,432,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,017,625,040 : 823,833,730,368 = 823,833,730,368 : x
  2. Step 2: Convert to fraction form
    585,017,625,040/823,833,730,368 = 823,833,730,368/x
  3. Step 3: Cross multiply
    585,017,625,040x = 823,833,730,368 × 823,833,730,368
  4. Step 4: Simplify right side
    585,017,625,040x = 678,702,015,292,054,561,619,968
  5. Step 5: Solve for x
    x = 678,702,015,292,054,561,619,968/585,017,625,040
  6. Step 6: Final answer
    x = 1,160,139,432,116.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.