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Finding the Third Proportional to 52,800 and 115,440

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Solution

The third proportional to 52,800 and 115,440 is: 252,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,800 : 115,440 = 115,440 : x
  2. Step 2: Convert to fraction form
    52,800/115,440 = 115,440/x
  3. Step 3: Cross multiply
    52,800x = 115,440 × 115,440
  4. Step 4: Simplify right side
    52,800x = 13,326,393,600
  5. Step 5: Solve for x
    x = 13,326,393,600/52,800
  6. Step 6: Final answer
    x = 252,393.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.