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Finding the Third Proportional to 78,666 and 122,711

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Solution

The third proportional to 78,666 and 122,711 is: 191,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,666 : 122,711 = 122,711 : x
  2. Step 2: Convert to fraction form
    78,666/122,711 = 122,711/x
  3. Step 3: Cross multiply
    78,666x = 122,711 × 122,711
  4. Step 4: Simplify right side
    78,666x = 15,057,989,521
  5. Step 5: Solve for x
    x = 15,057,989,521/78,666
  6. Step 6: Final answer
    x = 191,416.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.