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Finding the Third Proportional to 52,305.75 and 128,972.25

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Solution

The third proportional to 52,305.75 and 128,972.25 is: 318,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305.75 : 128,972.25 = 128,972.25 : x
  2. Step 2: Convert to fraction form
    52,305.75/128,972.25 = 128,972.25/x
  3. Step 3: Cross multiply
    52,305.75x = 128,972.25 × 128,972.25
  4. Step 4: Simplify right side
    52,305.75x = 16,633,841,270.06
  5. Step 5: Solve for x
    x = 16,633,841,270.06/52,305.75
  6. Step 6: Final answer
    x = 318,011.72

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.