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Finding the Third Proportional to 81,901 and 123,428.50

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Solution

The third proportional to 81,901 and 123,428.50 is: 186,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,901 : 123,428.50 = 123,428.50 : x
  2. Step 2: Convert to fraction form
    81,901/123,428.50 = 123,428.50/x
  3. Step 3: Cross multiply
    81,901x = 123,428.50 × 123,428.50
  4. Step 4: Simplify right side
    81,901x = 15,234,594,612.25
  5. Step 5: Solve for x
    x = 15,234,594,612.25/81,901
  6. Step 6: Final answer
    x = 186,012.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.