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Finding the Third Proportional to 154,828.88 and 218,034.38

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Solution

The third proportional to 154,828.88 and 218,034.38 is: 307,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,828.88 : 218,034.38 = 218,034.38 : x
  2. Step 2: Convert to fraction form
    154,828.88/218,034.38 = 218,034.38/x
  3. Step 3: Cross multiply
    154,828.88x = 218,034.38 × 218,034.38
  4. Step 4: Simplify right side
    154,828.88x = 47,538,988,681.64
  5. Step 5: Solve for x
    x = 47,538,988,681.64/154,828.88
  6. Step 6: Final answer
    x = 307,042.14

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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.