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Finding the Third Proportional to 68,546 and 93,382

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Solution

The third proportional to 68,546 and 93,382 is: 127,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546 : 93,382 = 93,382 : x
  2. Step 2: Convert to fraction form
    68,546/93,382 = 93,382/x
  3. Step 3: Cross multiply
    68,546x = 93,382 × 93,382
  4. Step 4: Simplify right side
    68,546x = 8,720,197,924
  5. Step 5: Solve for x
    x = 8,720,197,924/68,546
  6. Step 6: Final answer
    x = 127,216.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.