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Finding the Third Proportional to 236,882 and 312,987

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Solution

The third proportional to 236,882 and 312,987 is: 413,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,882 : 312,987 = 312,987 : x
  2. Step 2: Convert to fraction form
    236,882/312,987 = 312,987/x
  3. Step 3: Cross multiply
    236,882x = 312,987 × 312,987
  4. Step 4: Simplify right side
    236,882x = 97,960,862,169
  5. Step 5: Solve for x
    x = 97,960,862,169/236,882
  6. Step 6: Final answer
    x = 413,542.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.