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Finding the Third Proportional to 117,138 and 252,580

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Solution

The third proportional to 117,138 and 252,580 is: 544,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138 : 252,580 = 252,580 : x
  2. Step 2: Convert to fraction form
    117,138/252,580 = 252,580/x
  3. Step 3: Cross multiply
    117,138x = 252,580 × 252,580
  4. Step 4: Simplify right side
    117,138x = 63,796,656,400
  5. Step 5: Solve for x
    x = 63,796,656,400/117,138
  6. Step 6: Final answer
    x = 544,628.19

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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.