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Finding the Third Proportional to 189,617.91 and 407,376

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Solution

The third proportional to 189,617.91 and 407,376 is: 875,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,617.91 : 407,376 = 407,376 : x
  2. Step 2: Convert to fraction form
    189,617.91/407,376 = 407,376/x
  3. Step 3: Cross multiply
    189,617.91x = 407,376 × 407,376
  4. Step 4: Simplify right side
    189,617.91x = 165,955,205,376
  5. Step 5: Solve for x
    x = 165,955,205,376/189,617.91
  6. Step 6: Final answer
    x = 875,208.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.