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Finding the Third Proportional to 52,767 and 112,455

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Solution

The third proportional to 52,767 and 112,455 is: 239,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,767 : 112,455 = 112,455 : x
  2. Step 2: Convert to fraction form
    52,767/112,455 = 112,455/x
  3. Step 3: Cross multiply
    52,767x = 112,455 × 112,455
  4. Step 4: Simplify right side
    52,767x = 12,646,127,025
  5. Step 5: Solve for x
    x = 12,646,127,025/52,767
  6. Step 6: Final answer
    x = 239,659.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.