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Finding the Third Proportional to 156,640.50 and 252,214.59

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Solution

The third proportional to 156,640.50 and 252,214.59 is: 406,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640.50 : 252,214.59 = 252,214.59 : x
  2. Step 2: Convert to fraction form
    156,640.50/252,214.59 = 252,214.59/x
  3. Step 3: Cross multiply
    156,640.50x = 252,214.59 × 252,214.59
  4. Step 4: Simplify right side
    156,640.50x = 63,612,201,300.48
  5. Step 5: Solve for x
    x = 63,612,201,300.48/156,640.50
  6. Step 6: Final answer
    x = 406,103.16

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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.