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Finding the Third Proportional to 78,465 and 117,873

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Solution

The third proportional to 78,465 and 117,873 is: 177,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465 : 117,873 = 117,873 : x
  2. Step 2: Convert to fraction form
    78,465/117,873 = 117,873/x
  3. Step 3: Cross multiply
    78,465x = 117,873 × 117,873
  4. Step 4: Simplify right side
    78,465x = 13,894,044,129
  5. Step 5: Solve for x
    x = 13,894,044,129/78,465
  6. Step 6: Final answer
    x = 177,073.14

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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.