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Finding the Third Proportional to 123,149 and 265,295

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Solution

The third proportional to 123,149 and 265,295 is: 571,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,149 : 265,295 = 265,295 : x
  2. Step 2: Convert to fraction form
    123,149/265,295 = 265,295/x
  3. Step 3: Cross multiply
    123,149x = 265,295 × 265,295
  4. Step 4: Simplify right side
    123,149x = 70,381,437,025
  5. Step 5: Solve for x
    x = 70,381,437,025/123,149
  6. Step 6: Final answer
    x = 571,514.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.