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Finding the Third Proportional to 72,224,720 and 156,229,756

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Solution

The third proportional to 72,224,720 and 156,229,756 is: 337,941,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,224,720 : 156,229,756 = 156,229,756 : x
  2. Step 2: Convert to fraction form
    72,224,720/156,229,756 = 156,229,756/x
  3. Step 3: Cross multiply
    72,224,720x = 156,229,756 × 156,229,756
  4. Step 4: Simplify right side
    72,224,720x = 24,407,736,659,819,536
  5. Step 5: Solve for x
    x = 24,407,736,659,819,536/72,224,720
  6. Step 6: Final answer
    x = 337,941,589.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.