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Finding the Third Proportional to 61,568 and 128,320

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Solution

The third proportional to 61,568 and 128,320 is: 267,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,568 : 128,320 = 128,320 : x
  2. Step 2: Convert to fraction form
    61,568/128,320 = 128,320/x
  3. Step 3: Cross multiply
    61,568x = 128,320 × 128,320
  4. Step 4: Simplify right side
    61,568x = 16,466,022,400
  5. Step 5: Solve for x
    x = 16,466,022,400/61,568
  6. Step 6: Final answer
    x = 267,444.49

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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.