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Finding the Third Proportional to 91,776 and 123,840

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Solution

The third proportional to 91,776 and 123,840 is: 167,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,776 : 123,840 = 123,840 : x
  2. Step 2: Convert to fraction form
    91,776/123,840 = 123,840/x
  3. Step 3: Cross multiply
    91,776x = 123,840 × 123,840
  4. Step 4: Simplify right side
    91,776x = 15,336,345,600
  5. Step 5: Solve for x
    x = 15,336,345,600/91,776
  6. Step 6: Final answer
    x = 167,106.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.