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Finding the Third Proportional to 178,580 and 242,530

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Solution

The third proportional to 178,580 and 242,530 is: 329,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,580 : 242,530 = 242,530 : x
  2. Step 2: Convert to fraction form
    178,580/242,530 = 242,530/x
  3. Step 3: Cross multiply
    178,580x = 242,530 × 242,530
  4. Step 4: Simplify right side
    178,580x = 58,820,800,900
  5. Step 5: Solve for x
    x = 58,820,800,900/178,580
  6. Step 6: Final answer
    x = 329,380.67

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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.