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Finding the Third Proportional to 105,712.31 and 163,939.50

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Solution

The third proportional to 105,712.31 and 163,939.50 is: 254,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.31 : 163,939.50 = 163,939.50 : x
  2. Step 2: Convert to fraction form
    105,712.31/163,939.50 = 163,939.50/x
  3. Step 3: Cross multiply
    105,712.31x = 163,939.50 × 163,939.50
  4. Step 4: Simplify right side
    105,712.31x = 26,876,159,660.25
  5. Step 5: Solve for x
    x = 26,876,159,660.25/105,712.31
  6. Step 6: Final answer
    x = 254,238.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.