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Finding the Third Proportional to 54,345 and 83,542.50

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Solution

The third proportional to 54,345 and 83,542.50 is: 128,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345 : 83,542.50 = 83,542.50 : x
  2. Step 2: Convert to fraction form
    54,345/83,542.50 = 83,542.50/x
  3. Step 3: Cross multiply
    54,345x = 83,542.50 × 83,542.50
  4. Step 4: Simplify right side
    54,345x = 6,979,349,306.25
  5. Step 5: Solve for x
    x = 6,979,349,306.25/54,345
  6. Step 6: Final answer
    x = 128,426.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.