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Finding the Third Proportional to 124,398 and 187,221

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Solution

The third proportional to 124,398 and 187,221 is: 281,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,398 : 187,221 = 187,221 : x
  2. Step 2: Convert to fraction form
    124,398/187,221 = 187,221/x
  3. Step 3: Cross multiply
    124,398x = 187,221 × 187,221
  4. Step 4: Simplify right side
    124,398x = 35,051,702,841
  5. Step 5: Solve for x
    x = 35,051,702,841/124,398
  6. Step 6: Final answer
    x = 281,770.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.