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Finding the Third Proportional to 66,907.78 and 147,123.14

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Solution

The third proportional to 66,907.78 and 147,123.14 is: 323,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,907.78 : 147,123.14 = 147,123.14 : x
  2. Step 2: Convert to fraction form
    66,907.78/147,123.14 = 147,123.14/x
  3. Step 3: Cross multiply
    66,907.78x = 147,123.14 × 147,123.14
  4. Step 4: Simplify right side
    66,907.78x = 21,645,218,507.36
  5. Step 5: Solve for x
    x = 21,645,218,507.36/66,907.78
  6. Step 6: Final answer
    x = 323,508.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.