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Finding the Third Proportional to 515,840 and 730,560

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Solution

The third proportional to 515,840 and 730,560 is: 1,034,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,840 : 730,560 = 730,560 : x
  2. Step 2: Convert to fraction form
    515,840/730,560 = 730,560/x
  3. Step 3: Cross multiply
    515,840x = 730,560 × 730,560
  4. Step 4: Simplify right side
    515,840x = 533,717,913,600
  5. Step 5: Solve for x
    x = 533,717,913,600/515,840
  6. Step 6: Final answer
    x = 1,034,657.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.