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Finding the Third Proportional to 111,135 and 243,351

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Solution

The third proportional to 111,135 and 243,351 is: 532,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135 : 243,351 = 243,351 : x
  2. Step 2: Convert to fraction form
    111,135/243,351 = 243,351/x
  3. Step 3: Cross multiply
    111,135x = 243,351 × 243,351
  4. Step 4: Simplify right side
    111,135x = 59,219,709,201
  5. Step 5: Solve for x
    x = 59,219,709,201/111,135
  6. Step 6: Final answer
    x = 532,862.82

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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.