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Finding the Third Proportional to 508,554 and 747,279

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Solution

The third proportional to 508,554 and 747,279 is: 1,098,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,554 : 747,279 = 747,279 : x
  2. Step 2: Convert to fraction form
    508,554/747,279 = 747,279/x
  3. Step 3: Cross multiply
    508,554x = 747,279 × 747,279
  4. Step 4: Simplify right side
    508,554x = 558,425,903,841
  5. Step 5: Solve for x
    x = 558,425,903,841/508,554
  6. Step 6: Final answer
    x = 1,098,066.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.