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Finding the Third Proportional to 443,349.75 and 687,895.88

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Solution

The third proportional to 443,349.75 and 687,895.88 is: 1,067,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,349.75 : 687,895.88 = 687,895.88 : x
  2. Step 2: Convert to fraction form
    443,349.75/687,895.88 = 687,895.88/x
  3. Step 3: Cross multiply
    443,349.75x = 687,895.88 × 687,895.88
  4. Step 4: Simplify right side
    443,349.75x = 473,200,734,842.02
  5. Step 5: Solve for x
    x = 473,200,734,842.02/443,349.75
  6. Step 6: Final answer
    x = 1,067,330.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.