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Finding the Third Proportional to 515,427 and 784,076

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Solution

The third proportional to 515,427 and 784,076 is: 1,192,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,427 : 784,076 = 784,076 : x
  2. Step 2: Convert to fraction form
    515,427/784,076 = 784,076/x
  3. Step 3: Cross multiply
    515,427x = 784,076 × 784,076
  4. Step 4: Simplify right side
    515,427x = 614,775,173,776
  5. Step 5: Solve for x
    x = 614,775,173,776/515,427
  6. Step 6: Final answer
    x = 1,192,749.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.