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Finding the Third Proportional to 61,377.75 and 128,952

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Solution

The third proportional to 61,377.75 and 128,952 is: 270,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,377.75 : 128,952 = 128,952 : x
  2. Step 2: Convert to fraction form
    61,377.75/128,952 = 128,952/x
  3. Step 3: Cross multiply
    61,377.75x = 128,952 × 128,952
  4. Step 4: Simplify right side
    61,377.75x = 16,628,618,304
  5. Step 5: Solve for x
    x = 16,628,618,304/61,377.75
  6. Step 6: Final answer
    x = 270,922.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.