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Finding the Third Proportional to 178,601 and 243,220

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Solution

The third proportional to 178,601 and 243,220 is: 331,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,601 : 243,220 = 243,220 : x
  2. Step 2: Convert to fraction form
    178,601/243,220 = 243,220/x
  3. Step 3: Cross multiply
    178,601x = 243,220 × 243,220
  4. Step 4: Simplify right side
    178,601x = 59,155,968,400
  5. Step 5: Solve for x
    x = 59,155,968,400/178,601
  6. Step 6: Final answer
    x = 331,218.57

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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.