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Finding the Third Proportional to 81,678.38 and 130,050.56

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Solution

The third proportional to 81,678.38 and 130,050.56 is: 207,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.38 : 130,050.56 = 130,050.56 : x
  2. Step 2: Convert to fraction form
    81,678.38/130,050.56 = 130,050.56/x
  3. Step 3: Cross multiply
    81,678.38x = 130,050.56 × 130,050.56
  4. Step 4: Simplify right side
    81,678.38x = 16,913,148,806.57
  5. Step 5: Solve for x
    x = 16,913,148,806.57/81,678.38
  6. Step 6: Final answer
    x = 207,070.09

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