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Finding the Third Proportional to 138,945.38 and 282,801.38

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Solution

The third proportional to 138,945.38 and 282,801.38 is: 575,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,945.38 : 282,801.38 = 282,801.38 : x
  2. Step 2: Convert to fraction form
    138,945.38/282,801.38 = 282,801.38/x
  3. Step 3: Cross multiply
    138,945.38x = 282,801.38 × 282,801.38
  4. Step 4: Simplify right side
    138,945.38x = 79,976,617,701.89
  5. Step 5: Solve for x
    x = 79,976,617,701.89/138,945.38
  6. Step 6: Final answer
    x = 575,597.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.