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Finding the Third Proportional to 77,820 and 117,432

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Solution

The third proportional to 77,820 and 117,432 is: 177,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820 : 117,432 = 117,432 : x
  2. Step 2: Convert to fraction form
    77,820/117,432 = 117,432/x
  3. Step 3: Cross multiply
    77,820x = 117,432 × 117,432
  4. Step 4: Simplify right side
    77,820x = 13,790,274,624
  5. Step 5: Solve for x
    x = 13,790,274,624/77,820
  6. Step 6: Final answer
    x = 177,207.33

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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.