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Finding the Third Proportional to 84,154 and 181,429

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Solution

The third proportional to 84,154 and 181,429 is: 391,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,154 : 181,429 = 181,429 : x
  2. Step 2: Convert to fraction form
    84,154/181,429 = 181,429/x
  3. Step 3: Cross multiply
    84,154x = 181,429 × 181,429
  4. Step 4: Simplify right side
    84,154x = 32,916,482,041
  5. Step 5: Solve for x
    x = 32,916,482,041/84,154
  6. Step 6: Final answer
    x = 391,145.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.