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Finding the Third Proportional to 125,571 and 178,981.50

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Solution

The third proportional to 125,571 and 178,981.50 is: 255,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,571 : 178,981.50 = 178,981.50 : x
  2. Step 2: Convert to fraction form
    125,571/178,981.50 = 178,981.50/x
  3. Step 3: Cross multiply
    125,571x = 178,981.50 × 178,981.50
  4. Step 4: Simplify right side
    125,571x = 32,034,377,342.25
  5. Step 5: Solve for x
    x = 32,034,377,342.25/125,571
  6. Step 6: Final answer
    x = 255,109.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.