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Finding the Third Proportional to 443,349 and 687,894.75

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Solution

The third proportional to 443,349 and 687,894.75 is: 1,067,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,349 : 687,894.75 = 687,894.75 : x
  2. Step 2: Convert to fraction form
    443,349/687,894.75 = 687,894.75/x
  3. Step 3: Cross multiply
    443,349x = 687,894.75 × 687,894.75
  4. Step 4: Simplify right side
    443,349x = 473,199,187,077.56
  5. Step 5: Solve for x
    x = 473,199,187,077.56/443,349
  6. Step 6: Final answer
    x = 1,067,328.87

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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.