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Finding the Third Proportional to 284,358 and 432,681

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Solution

The third proportional to 284,358 and 432,681 is: 658,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358 : 432,681 = 432,681 : x
  2. Step 2: Convert to fraction form
    284,358/432,681 = 432,681/x
  3. Step 3: Cross multiply
    284,358x = 432,681 × 432,681
  4. Step 4: Simplify right side
    284,358x = 187,212,847,761
  5. Step 5: Solve for x
    x = 187,212,847,761/284,358
  6. Step 6: Final answer
    x = 658,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.