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Finding the Third Proportional to 442,972 and 687,239

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Solution

The third proportional to 442,972 and 687,239 is: 1,066,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,972 : 687,239 = 687,239 : x
  2. Step 2: Convert to fraction form
    442,972/687,239 = 687,239/x
  3. Step 3: Cross multiply
    442,972x = 687,239 × 687,239
  4. Step 4: Simplify right side
    442,972x = 472,297,443,121
  5. Step 5: Solve for x
    x = 472,297,443,121/442,972
  6. Step 6: Final answer
    x = 1,066,201.57

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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.