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Finding the Third Proportional to 138,156.44 and 219,689.38

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Solution

The third proportional to 138,156.44 and 219,689.38 is: 349,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.44 : 219,689.38 = 219,689.38 : x
  2. Step 2: Convert to fraction form
    138,156.44/219,689.38 = 219,689.38/x
  3. Step 3: Cross multiply
    138,156.44x = 219,689.38 × 219,689.38
  4. Step 4: Simplify right side
    138,156.44x = 48,263,421,487.89
  5. Step 5: Solve for x
    x = 48,263,421,487.89/138,156.44
  6. Step 6: Final answer
    x = 349,338.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.