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Finding the Third Proportional to 156,504,680 and 343,242,416

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Solution

The third proportional to 156,504,680 and 343,242,416 is: 752,791,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,504,680 : 343,242,416 = 343,242,416 : x
  2. Step 2: Convert to fraction form
    156,504,680/343,242,416 = 343,242,416/x
  3. Step 3: Cross multiply
    156,504,680x = 343,242,416 × 343,242,416
  4. Step 4: Simplify right side
    156,504,680x = 117,815,356,141,517,056
  5. Step 5: Solve for x
    x = 117,815,356,141,517,056/156,504,680
  6. Step 6: Final answer
    x = 752,791,265.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.