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Finding the Third Proportional to 200,425.13 and 417,435

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Solution

The third proportional to 200,425.13 and 417,435 is: 869,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,425.13 : 417,435 = 417,435 : x
  2. Step 2: Convert to fraction form
    200,425.13/417,435 = 417,435/x
  3. Step 3: Cross multiply
    200,425.13x = 417,435 × 417,435
  4. Step 4: Simplify right side
    200,425.13x = 174,251,979,225
  5. Step 5: Solve for x
    x = 174,251,979,225/200,425.13
  6. Step 6: Final answer
    x = 869,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.