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Finding the Third Proportional to 62,750 and 122,346

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Solution

The third proportional to 62,750 and 122,346 is: 238,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,750 : 122,346 = 122,346 : x
  2. Step 2: Convert to fraction form
    62,750/122,346 = 122,346/x
  3. Step 3: Cross multiply
    62,750x = 122,346 × 122,346
  4. Step 4: Simplify right side
    62,750x = 14,968,543,716
  5. Step 5: Solve for x
    x = 14,968,543,716/62,750
  6. Step 6: Final answer
    x = 238,542.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.