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Finding the Third Proportional to 156,639 and 252,211.50

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Solution

The third proportional to 156,639 and 252,211.50 is: 406,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 252,211.50 = 252,211.50 : x
  2. Step 2: Convert to fraction form
    156,639/252,211.50 = 252,211.50/x
  3. Step 3: Cross multiply
    156,639x = 252,211.50 × 252,211.50
  4. Step 4: Simplify right side
    156,639x = 63,610,640,732.25
  5. Step 5: Solve for x
    x = 63,610,640,732.25/156,639
  6. Step 6: Final answer
    x = 406,097.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.