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Finding the Third Proportional to 122,402 and 187,225

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Solution

The third proportional to 122,402 and 187,225 is: 286,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,402 : 187,225 = 187,225 : x
  2. Step 2: Convert to fraction form
    122,402/187,225 = 187,225/x
  3. Step 3: Cross multiply
    122,402x = 187,225 × 187,225
  4. Step 4: Simplify right side
    122,402x = 35,053,200,625
  5. Step 5: Solve for x
    x = 35,053,200,625/122,402
  6. Step 6: Final answer
    x = 286,377.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.