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Finding the Third Proportional to 178,416 and 242,190

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Solution

The third proportional to 178,416 and 242,190 is: 328,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 242,190 = 242,190 : x
  2. Step 2: Convert to fraction form
    178,416/242,190 = 242,190/x
  3. Step 3: Cross multiply
    178,416x = 242,190 × 242,190
  4. Step 4: Simplify right side
    178,416x = 58,655,996,100
  5. Step 5: Solve for x
    x = 58,655,996,100/178,416
  6. Step 6: Final answer
    x = 328,759.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.