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Finding the Third Proportional to 291,332 and 393,609

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Solution

The third proportional to 291,332 and 393,609 is: 531,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,332 : 393,609 = 393,609 : x
  2. Step 2: Convert to fraction form
    291,332/393,609 = 393,609/x
  3. Step 3: Cross multiply
    291,332x = 393,609 × 393,609
  4. Step 4: Simplify right side
    291,332x = 154,928,044,881
  5. Step 5: Solve for x
    x = 154,928,044,881/291,332
  6. Step 6: Final answer
    x = 531,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.