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Finding the Third Proportional to 81,870.75 and 130,187.06

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Solution

The third proportional to 81,870.75 and 130,187.06 is: 207,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.75 : 130,187.06 = 130,187.06 : x
  2. Step 2: Convert to fraction form
    81,870.75/130,187.06 = 130,187.06/x
  3. Step 3: Cross multiply
    81,870.75x = 130,187.06 × 130,187.06
  4. Step 4: Simplify right side
    81,870.75x = 16,948,671,242.38
  5. Step 5: Solve for x
    x = 16,948,671,242.38/81,870.75
  6. Step 6: Final answer
    x = 207,017.42

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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.