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Finding the Third Proportional to 318,469 and 750,731

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Solution

The third proportional to 318,469 and 750,731 is: 1,769,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,469 : 750,731 = 750,731 : x
  2. Step 2: Convert to fraction form
    318,469/750,731 = 750,731/x
  3. Step 3: Cross multiply
    318,469x = 750,731 × 750,731
  4. Step 4: Simplify right side
    318,469x = 563,597,034,361
  5. Step 5: Solve for x
    x = 563,597,034,361/318,469
  6. Step 6: Final answer
    x = 1,769,707.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.