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Finding the Third Proportional to 53,947.13 and 81,670.31

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Solution

The third proportional to 53,947.13 and 81,670.31 is: 123,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.13 : 81,670.31 = 81,670.31 : x
  2. Step 2: Convert to fraction form
    53,947.13/81,670.31 = 81,670.31/x
  3. Step 3: Cross multiply
    53,947.13x = 81,670.31 × 81,670.31
  4. Step 4: Simplify right side
    53,947.13x = 6,670,039,943.85
  5. Step 5: Solve for x
    x = 6,670,039,943.85/53,947.13
  6. Step 6: Final answer
    x = 123,640.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.