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Finding the Third Proportional to 81,231 and 168,961.50

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Solution

The third proportional to 81,231 and 168,961.50 is: 351,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231 : 168,961.50 = 168,961.50 : x
  2. Step 2: Convert to fraction form
    81,231/168,961.50 = 168,961.50/x
  3. Step 3: Cross multiply
    81,231x = 168,961.50 × 168,961.50
  4. Step 4: Simplify right side
    81,231x = 28,547,988,482.25
  5. Step 5: Solve for x
    x = 28,547,988,482.25/81,231
  6. Step 6: Final answer
    x = 351,442.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.