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Finding the Third Proportional to 76,718 and 117,748

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Solution

The third proportional to 76,718 and 117,748 is: 180,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,718 : 117,748 = 117,748 : x
  2. Step 2: Convert to fraction form
    76,718/117,748 = 117,748/x
  3. Step 3: Cross multiply
    76,718x = 117,748 × 117,748
  4. Step 4: Simplify right side
    76,718x = 13,864,591,504
  5. Step 5: Solve for x
    x = 13,864,591,504/76,718
  6. Step 6: Final answer
    x = 180,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.