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Finding the Third Proportional to 207,476.50 and 455,129.50

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Solution

The third proportional to 207,476.50 and 455,129.50 is: 998,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,476.50 : 455,129.50 = 455,129.50 : x
  2. Step 2: Convert to fraction form
    207,476.50/455,129.50 = 455,129.50/x
  3. Step 3: Cross multiply
    207,476.50x = 455,129.50 × 455,129.50
  4. Step 4: Simplify right side
    207,476.50x = 207,142,861,770.25
  5. Step 5: Solve for x
    x = 207,142,861,770.25/207,476.50
  6. Step 6: Final answer
    x = 998,391.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.