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Finding the Third Proportional to 102,417 and 149,122

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Solution

The third proportional to 102,417 and 149,122 is: 217,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,417 : 149,122 = 149,122 : x
  2. Step 2: Convert to fraction form
    102,417/149,122 = 149,122/x
  3. Step 3: Cross multiply
    102,417x = 149,122 × 149,122
  4. Step 4: Simplify right side
    102,417x = 22,237,370,884
  5. Step 5: Solve for x
    x = 22,237,370,884/102,417
  6. Step 6: Final answer
    x = 217,125.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.