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Finding the Third Proportional to 283,725 and 431,487

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Solution

The third proportional to 283,725 and 431,487 is: 656,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,725 : 431,487 = 431,487 : x
  2. Step 2: Convert to fraction form
    283,725/431,487 = 431,487/x
  3. Step 3: Cross multiply
    283,725x = 431,487 × 431,487
  4. Step 4: Simplify right side
    283,725x = 186,181,031,169
  5. Step 5: Solve for x
    x = 186,181,031,169/283,725
  6. Step 6: Final answer
    x = 656,202.42

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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.