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Finding the Third Proportional to 68,160 and 91,776

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Solution

The third proportional to 68,160 and 91,776 is: 123,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160 : 91,776 = 91,776 : x
  2. Step 2: Convert to fraction form
    68,160/91,776 = 91,776/x
  3. Step 3: Cross multiply
    68,160x = 91,776 × 91,776
  4. Step 4: Simplify right side
    68,160x = 8,422,834,176
  5. Step 5: Solve for x
    x = 8,422,834,176/68,160
  6. Step 6: Final answer
    x = 123,574.45

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Why These Related Problems?

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