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Finding the Third Proportional to 78,314.50 and 118,565

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Solution

The third proportional to 78,314.50 and 118,565 is: 179,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.50 : 118,565 = 118,565 : x
  2. Step 2: Convert to fraction form
    78,314.50/118,565 = 118,565/x
  3. Step 3: Cross multiply
    78,314.50x = 118,565 × 118,565
  4. Step 4: Simplify right side
    78,314.50x = 14,057,659,225
  5. Step 5: Solve for x
    x = 14,057,659,225/78,314.50
  6. Step 6: Final answer
    x = 179,502.64

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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.