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Finding the Third Proportional to 62,768 and 130,720

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Solution

The third proportional to 62,768 and 130,720 is: 272,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,768 : 130,720 = 130,720 : x
  2. Step 2: Convert to fraction form
    62,768/130,720 = 130,720/x
  3. Step 3: Cross multiply
    62,768x = 130,720 × 130,720
  4. Step 4: Simplify right side
    62,768x = 17,087,718,400
  5. Step 5: Solve for x
    x = 17,087,718,400/62,768
  6. Step 6: Final answer
    x = 272,236.15

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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.