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Finding the Third Proportional to 443,135 and 687,464

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Solution

The third proportional to 443,135 and 687,464 is: 1,066,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,135 : 687,464 = 687,464 : x
  2. Step 2: Convert to fraction form
    443,135/687,464 = 687,464/x
  3. Step 3: Cross multiply
    443,135x = 687,464 × 687,464
  4. Step 4: Simplify right side
    443,135x = 472,606,751,296
  5. Step 5: Solve for x
    x = 472,606,751,296/443,135
  6. Step 6: Final answer
    x = 1,066,507.39

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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.