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Finding the Third Proportional to 129,294 and 198,686.25

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Solution

The third proportional to 129,294 and 198,686.25 is: 305,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,294 : 198,686.25 = 198,686.25 : x
  2. Step 2: Convert to fraction form
    129,294/198,686.25 = 198,686.25/x
  3. Step 3: Cross multiply
    129,294x = 198,686.25 × 198,686.25
  4. Step 4: Simplify right side
    129,294x = 39,476,225,939.06
  5. Step 5: Solve for x
    x = 39,476,225,939.06/129,294
  6. Step 6: Final answer
    x = 305,321.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.