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Finding the Third Proportional to 53,746.50 and 84,744

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Solution

The third proportional to 53,746.50 and 84,744 is: 133,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746.50 : 84,744 = 84,744 : x
  2. Step 2: Convert to fraction form
    53,746.50/84,744 = 84,744/x
  3. Step 3: Cross multiply
    53,746.50x = 84,744 × 84,744
  4. Step 4: Simplify right side
    53,746.50x = 7,181,545,536
  5. Step 5: Solve for x
    x = 7,181,545,536/53,746.50
  6. Step 6: Final answer
    x = 133,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.