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Finding the Third Proportional to 121,315 and 193,785

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Solution

The third proportional to 121,315 and 193,785 is: 309,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,315 : 193,785 = 193,785 : x
  2. Step 2: Convert to fraction form
    121,315/193,785 = 193,785/x
  3. Step 3: Cross multiply
    121,315x = 193,785 × 193,785
  4. Step 4: Simplify right side
    121,315x = 37,552,626,225
  5. Step 5: Solve for x
    x = 37,552,626,225/121,315
  6. Step 6: Final answer
    x = 309,546.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.