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Finding the Third Proportional to 63,600 and 137,808

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Solution

The third proportional to 63,600 and 137,808 is: 298,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,600 : 137,808 = 137,808 : x
  2. Step 2: Convert to fraction form
    63,600/137,808 = 137,808/x
  3. Step 3: Cross multiply
    63,600x = 137,808 × 137,808
  4. Step 4: Simplify right side
    63,600x = 18,991,044,864
  5. Step 5: Solve for x
    x = 18,991,044,864/63,600
  6. Step 6: Final answer
    x = 298,601.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.