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Finding the Third Proportional to 52,125 and 113,810

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Solution

The third proportional to 52,125 and 113,810 is: 248,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125 : 113,810 = 113,810 : x
  2. Step 2: Convert to fraction form
    52,125/113,810 = 113,810/x
  3. Step 3: Cross multiply
    52,125x = 113,810 × 113,810
  4. Step 4: Simplify right side
    52,125x = 12,952,716,100
  5. Step 5: Solve for x
    x = 12,952,716,100/52,125
  6. Step 6: Final answer
    x = 248,493.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.