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Finding the Third Proportional to 59,378 and 128,452

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Solution

The third proportional to 59,378 and 128,452 is: 277,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,378 : 128,452 = 128,452 : x
  2. Step 2: Convert to fraction form
    59,378/128,452 = 128,452/x
  3. Step 3: Cross multiply
    59,378x = 128,452 × 128,452
  4. Step 4: Simplify right side
    59,378x = 16,499,916,304
  5. Step 5: Solve for x
    x = 16,499,916,304/59,378
  6. Step 6: Final answer
    x = 277,879.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.