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Finding the Third Proportional to 156,715.50 and 220,207.50

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Solution

The third proportional to 156,715.50 and 220,207.50 is: 309,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,715.50 : 220,207.50 = 220,207.50 : x
  2. Step 2: Convert to fraction form
    156,715.50/220,207.50 = 220,207.50/x
  3. Step 3: Cross multiply
    156,715.50x = 220,207.50 × 220,207.50
  4. Step 4: Simplify right side
    156,715.50x = 48,491,343,056.25
  5. Step 5: Solve for x
    x = 48,491,343,056.25/156,715.50
  6. Step 6: Final answer
    x = 309,422.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.