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Finding the Third Proportional to 443,442 and 676,239

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Solution

The third proportional to 443,442 and 676,239 is: 1,031,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,442 : 676,239 = 676,239 : x
  2. Step 2: Convert to fraction form
    443,442/676,239 = 676,239/x
  3. Step 3: Cross multiply
    443,442x = 676,239 × 676,239
  4. Step 4: Simplify right side
    443,442x = 457,299,185,121
  5. Step 5: Solve for x
    x = 457,299,185,121/443,442
  6. Step 6: Final answer
    x = 1,031,249.15

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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.