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Finding the Third Proportional to 516,060 and 797,420

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Solution

The third proportional to 516,060 and 797,420 is: 1,232,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,060 : 797,420 = 797,420 : x
  2. Step 2: Convert to fraction form
    516,060/797,420 = 797,420/x
  3. Step 3: Cross multiply
    516,060x = 797,420 × 797,420
  4. Step 4: Simplify right side
    516,060x = 635,878,656,400
  5. Step 5: Solve for x
    x = 635,878,656,400/516,060
  6. Step 6: Final answer
    x = 1,232,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.