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Finding the Third Proportional to 129,974 and 270,160

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Solution

The third proportional to 129,974 and 270,160 is: 561,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,974 : 270,160 = 270,160 : x
  2. Step 2: Convert to fraction form
    129,974/270,160 = 270,160/x
  3. Step 3: Cross multiply
    129,974x = 270,160 × 270,160
  4. Step 4: Simplify right side
    129,974x = 72,986,425,600
  5. Step 5: Solve for x
    x = 72,986,425,600/129,974
  6. Step 6: Final answer
    x = 561,546.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.