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Finding the Third Proportional to 153,398 and 314,236

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Solution

The third proportional to 153,398 and 314,236 is: 643,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,398 : 314,236 = 314,236 : x
  2. Step 2: Convert to fraction form
    153,398/314,236 = 314,236/x
  3. Step 3: Cross multiply
    153,398x = 314,236 × 314,236
  4. Step 4: Simplify right side
    153,398x = 98,744,263,696
  5. Step 5: Solve for x
    x = 98,744,263,696/153,398
  6. Step 6: Final answer
    x = 643,712.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.