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Finding the Third Proportional to 267,639.19 and 414,904.78

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Solution

The third proportional to 267,639.19 and 414,904.78 is: 643,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,639.19 : 414,904.78 = 414,904.78 : x
  2. Step 2: Convert to fraction form
    267,639.19/414,904.78 = 414,904.78/x
  3. Step 3: Cross multiply
    267,639.19x = 414,904.78 × 414,904.78
  4. Step 4: Simplify right side
    267,639.19x = 172,145,977,504.11
  5. Step 5: Solve for x
    x = 172,145,977,504.11/267,639.19
  6. Step 6: Final answer
    x = 643,201.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.