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Finding the Third Proportional to 78,776 and 117,891

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Solution

The third proportional to 78,776 and 117,891 is: 176,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,776 : 117,891 = 117,891 : x
  2. Step 2: Convert to fraction form
    78,776/117,891 = 117,891/x
  3. Step 3: Cross multiply
    78,776x = 117,891 × 117,891
  4. Step 4: Simplify right side
    78,776x = 13,898,287,881
  5. Step 5: Solve for x
    x = 13,898,287,881/78,776
  6. Step 6: Final answer
    x = 176,427.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.