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Finding the Third Proportional to 124,549 and 198,278

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Solution

The third proportional to 124,549 and 198,278 is: 315,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,549 : 198,278 = 198,278 : x
  2. Step 2: Convert to fraction form
    124,549/198,278 = 198,278/x
  3. Step 3: Cross multiply
    124,549x = 198,278 × 198,278
  4. Step 4: Simplify right side
    124,549x = 39,314,165,284
  5. Step 5: Solve for x
    x = 39,314,165,284/124,549
  6. Step 6: Final answer
    x = 315,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.