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Finding the Third Proportional to 443,448 and 676,242

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Solution

The third proportional to 443,448 and 676,242 is: 1,031,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,448 : 676,242 = 676,242 : x
  2. Step 2: Convert to fraction form
    443,448/676,242 = 676,242/x
  3. Step 3: Cross multiply
    443,448x = 676,242 × 676,242
  4. Step 4: Simplify right side
    443,448x = 457,303,242,564
  5. Step 5: Solve for x
    x = 457,303,242,564/443,448
  6. Step 6: Final answer
    x = 1,031,244.35

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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.