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Finding the Third Proportional to 81,870.75 and 130,186.69

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Solution

The third proportional to 81,870.75 and 130,186.69 is: 207,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.75 : 130,186.69 = 130,186.69 : x
  2. Step 2: Convert to fraction form
    81,870.75/130,186.69 = 130,186.69/x
  3. Step 3: Cross multiply
    81,870.75x = 130,186.69 × 130,186.69
  4. Step 4: Simplify right side
    81,870.75x = 16,948,573,602.22
  5. Step 5: Solve for x
    x = 16,948,573,602.22/81,870.75
  6. Step 6: Final answer
    x = 207,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.