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Finding the Third Proportional to 332,476 and 712,592

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Solution

The third proportional to 332,476 and 712,592 is: 1,527,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,476 : 712,592 = 712,592 : x
  2. Step 2: Convert to fraction form
    332,476/712,592 = 712,592/x
  3. Step 3: Cross multiply
    332,476x = 712,592 × 712,592
  4. Step 4: Simplify right side
    332,476x = 507,787,358,464
  5. Step 5: Solve for x
    x = 507,787,358,464/332,476
  6. Step 6: Final answer
    x = 1,527,290.27

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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.