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Finding the Third Proportional to 169,278 and 257,244

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Solution

The third proportional to 169,278 and 257,244 is: 390,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,278 : 257,244 = 257,244 : x
  2. Step 2: Convert to fraction form
    169,278/257,244 = 257,244/x
  3. Step 3: Cross multiply
    169,278x = 257,244 × 257,244
  4. Step 4: Simplify right side
    169,278x = 66,174,475,536
  5. Step 5: Solve for x
    x = 66,174,475,536/169,278
  6. Step 6: Final answer
    x = 390,921.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.