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Finding the Third Proportional to 585,280 and 857,120

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Solution

The third proportional to 585,280 and 857,120 is: 1,255,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,280 : 857,120 = 857,120 : x
  2. Step 2: Convert to fraction form
    585,280/857,120 = 857,120/x
  3. Step 3: Cross multiply
    585,280x = 857,120 × 857,120
  4. Step 4: Simplify right side
    585,280x = 734,654,694,400
  5. Step 5: Solve for x
    x = 734,654,694,400/585,280
  6. Step 6: Final answer
    x = 1,255,219.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.