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Finding the Third Proportional to 443,421.56 and 676,203.75

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Solution

The third proportional to 443,421.56 and 676,203.75 is: 1,031,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,421.56 : 676,203.75 = 676,203.75 : x
  2. Step 2: Convert to fraction form
    443,421.56/676,203.75 = 676,203.75/x
  3. Step 3: Cross multiply
    443,421.56x = 676,203.75 × 676,203.75
  4. Step 4: Simplify right side
    443,421.56x = 457,251,511,514.06
  5. Step 5: Solve for x
    x = 457,251,511,514.06/443,421.56
  6. Step 6: Final answer
    x = 1,031,189.17

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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.