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Finding the Third Proportional to 178,640 and 242,600

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Solution

The third proportional to 178,640 and 242,600 is: 329,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,640 : 242,600 = 242,600 : x
  2. Step 2: Convert to fraction form
    178,640/242,600 = 242,600/x
  3. Step 3: Cross multiply
    178,640x = 242,600 × 242,600
  4. Step 4: Simplify right side
    178,640x = 58,854,760,000
  5. Step 5: Solve for x
    x = 58,854,760,000/178,640
  6. Step 6: Final answer
    x = 329,460.14

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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.