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Finding the Third Proportional to 78,442 and 118,389

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Solution

The third proportional to 78,442 and 118,389 is: 178,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442 : 118,389 = 118,389 : x
  2. Step 2: Convert to fraction form
    78,442/118,389 = 118,389/x
  3. Step 3: Cross multiply
    78,442x = 118,389 × 118,389
  4. Step 4: Simplify right side
    78,442x = 14,015,955,321
  5. Step 5: Solve for x
    x = 14,015,955,321/78,442
  6. Step 6: Final answer
    x = 178,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.