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Finding the Third Proportional to 81,703.50 and 115,616.25

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Solution

The third proportional to 81,703.50 and 115,616.25 is: 163,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.50 : 115,616.25 = 115,616.25 : x
  2. Step 2: Convert to fraction form
    81,703.50/115,616.25 = 115,616.25/x
  3. Step 3: Cross multiply
    81,703.50x = 115,616.25 × 115,616.25
  4. Step 4: Simplify right side
    81,703.50x = 13,367,117,264.06
  5. Step 5: Solve for x
    x = 13,367,117,264.06/81,703.50
  6. Step 6: Final answer
    x = 163,605.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.