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Finding the Third Proportional to 442,425 and 676,530

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Solution

The third proportional to 442,425 and 676,530 is: 1,034,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,425 : 676,530 = 676,530 : x
  2. Step 2: Convert to fraction form
    442,425/676,530 = 676,530/x
  3. Step 3: Cross multiply
    442,425x = 676,530 × 676,530
  4. Step 4: Simplify right side
    442,425x = 457,692,840,900
  5. Step 5: Solve for x
    x = 457,692,840,900/442,425
  6. Step 6: Final answer
    x = 1,034,509.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.