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Finding the Third Proportional to 103,507.31 and 221,770.13

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Solution

The third proportional to 103,507.31 and 221,770.13 is: 475,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,507.31 : 221,770.13 = 221,770.13 : x
  2. Step 2: Convert to fraction form
    103,507.31/221,770.13 = 221,770.13/x
  3. Step 3: Cross multiply
    103,507.31x = 221,770.13 × 221,770.13
  4. Step 4: Simplify right side
    103,507.31x = 49,181,988,342.52
  5. Step 5: Solve for x
    x = 49,181,988,342.52/103,507.31
  6. Step 6: Final answer
    x = 475,154.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.