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Finding the Third Proportional to 171,330 and 251,146

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Solution

The third proportional to 171,330 and 251,146 is: 368,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,330 : 251,146 = 251,146 : x
  2. Step 2: Convert to fraction form
    171,330/251,146 = 251,146/x
  3. Step 3: Cross multiply
    171,330x = 251,146 × 251,146
  4. Step 4: Simplify right side
    171,330x = 63,074,313,316
  5. Step 5: Solve for x
    x = 63,074,313,316/171,330
  6. Step 6: Final answer
    x = 368,145.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.