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Finding the Third Proportional to 66,489 and 156,445.50

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Solution

The third proportional to 66,489 and 156,445.50 is: 368,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,489 : 156,445.50 = 156,445.50 : x
  2. Step 2: Convert to fraction form
    66,489/156,445.50 = 156,445.50/x
  3. Step 3: Cross multiply
    66,489x = 156,445.50 × 156,445.50
  4. Step 4: Simplify right side
    66,489x = 24,475,194,470.25
  5. Step 5: Solve for x
    x = 24,475,194,470.25/66,489
  6. Step 6: Final answer
    x = 368,108.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.