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Finding the Third Proportional to 332,448 and 712,524

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Solution

The third proportional to 332,448 and 712,524 is: 1,527,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,448 : 712,524 = 712,524 : x
  2. Step 2: Convert to fraction form
    332,448/712,524 = 712,524/x
  3. Step 3: Cross multiply
    332,448x = 712,524 × 712,524
  4. Step 4: Simplify right side
    332,448x = 507,690,450,576
  5. Step 5: Solve for x
    x = 507,690,450,576/332,448
  6. Step 6: Final answer
    x = 1,527,127.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.