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Finding the Third Proportional to 138,162.59 and 219,702.38

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Solution

The third proportional to 138,162.59 and 219,702.38 is: 349,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.59 : 219,702.38 = 219,702.38 : x
  2. Step 2: Convert to fraction form
    138,162.59/219,702.38 = 219,702.38/x
  3. Step 3: Cross multiply
    138,162.59x = 219,702.38 × 219,702.38
  4. Step 4: Simplify right side
    138,162.59x = 48,269,133,580.64
  5. Step 5: Solve for x
    x = 48,269,133,580.64/138,162.59
  6. Step 6: Final answer
    x = 349,364.72

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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.