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Finding the Third Proportional to 129,120 and 276,672

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Solution

The third proportional to 129,120 and 276,672 is: 592,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120 : 276,672 = 276,672 : x
  2. Step 2: Convert to fraction form
    129,120/276,672 = 276,672/x
  3. Step 3: Cross multiply
    129,120x = 276,672 × 276,672
  4. Step 4: Simplify right side
    129,120x = 76,547,395,584
  5. Step 5: Solve for x
    x = 76,547,395,584/129,120
  6. Step 6: Final answer
    x = 592,839.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.