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Finding the Third Proportional to 154,819.13 and 218,019.38

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Solution

The third proportional to 154,819.13 and 218,019.38 is: 307,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,819.13 : 218,019.38 = 218,019.38 : x
  2. Step 2: Convert to fraction form
    154,819.13/218,019.38 = 218,019.38/x
  3. Step 3: Cross multiply
    154,819.13x = 218,019.38 × 218,019.38
  4. Step 4: Simplify right side
    154,819.13x = 47,532,447,875.39
  5. Step 5: Solve for x
    x = 47,532,447,875.39/154,819.13
  6. Step 6: Final answer
    x = 307,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.