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Finding the Third Proportional to 124,543.50 and 198,270

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Solution

The third proportional to 124,543.50 and 198,270 is: 315,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,543.50 : 198,270 = 198,270 : x
  2. Step 2: Convert to fraction form
    124,543.50/198,270 = 198,270/x
  3. Step 3: Cross multiply
    124,543.50x = 198,270 × 198,270
  4. Step 4: Simplify right side
    124,543.50x = 39,310,992,900
  5. Step 5: Solve for x
    x = 39,310,992,900/124,543.50
  6. Step 6: Final answer
    x = 315,640.66

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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.