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Finding the Third Proportional to 52,448 and 113,236

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Solution

The third proportional to 52,448 and 113,236 is: 244,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,448 : 113,236 = 113,236 : x
  2. Step 2: Convert to fraction form
    52,448/113,236 = 113,236/x
  3. Step 3: Cross multiply
    52,448x = 113,236 × 113,236
  4. Step 4: Simplify right side
    52,448x = 12,822,391,696
  5. Step 5: Solve for x
    x = 12,822,391,696/52,448
  6. Step 6: Final answer
    x = 244,478.18

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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.