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Finding the Third Proportional to 124,546.50 and 198,274.50

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Solution

The third proportional to 124,546.50 and 198,274.50 is: 315,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,546.50 : 198,274.50 = 198,274.50 : x
  2. Step 2: Convert to fraction form
    124,546.50/198,274.50 = 198,274.50/x
  3. Step 3: Cross multiply
    124,546.50x = 198,274.50 × 198,274.50
  4. Step 4: Simplify right side
    124,546.50x = 39,312,777,350.25
  5. Step 5: Solve for x
    x = 39,312,777,350.25/124,546.50
  6. Step 6: Final answer
    x = 315,647.39

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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.