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Finding the Third Proportional to 139,542.75 and 206,641.13

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Solution

The third proportional to 139,542.75 and 206,641.13 is: 306,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,542.75 : 206,641.13 = 206,641.13 : x
  2. Step 2: Convert to fraction form
    139,542.75/206,641.13 = 206,641.13/x
  3. Step 3: Cross multiply
    139,542.75x = 206,641.13 × 206,641.13
  4. Step 4: Simplify right side
    139,542.75x = 42,700,554,541.27
  5. Step 5: Solve for x
    x = 42,700,554,541.27/139,542.75
  6. Step 6: Final answer
    x = 306,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.