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Finding the Third Proportional to 64,408 and 137,312

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Solution

The third proportional to 64,408 and 137,312 is: 292,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,408 : 137,312 = 137,312 : x
  2. Step 2: Convert to fraction form
    64,408/137,312 = 137,312/x
  3. Step 3: Cross multiply
    64,408x = 137,312 × 137,312
  4. Step 4: Simplify right side
    64,408x = 18,854,585,344
  5. Step 5: Solve for x
    x = 18,854,585,344/64,408
  6. Step 6: Final answer
    x = 292,736.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.