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Finding the Third Proportional to 40,776 and 63,888

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Solution

The third proportional to 40,776 and 63,888 is: 100,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,776 : 63,888 = 63,888 : x
  2. Step 2: Convert to fraction form
    40,776/63,888 = 63,888/x
  3. Step 3: Cross multiply
    40,776x = 63,888 × 63,888
  4. Step 4: Simplify right side
    40,776x = 4,081,676,544
  5. Step 5: Solve for x
    x = 4,081,676,544/40,776
  6. Step 6: Final answer
    x = 100,099.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.