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Finding the Third Proportional to 169,972 and 257,622

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Solution

The third proportional to 169,972 and 257,622 is: 390,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,972 : 257,622 = 257,622 : x
  2. Step 2: Convert to fraction form
    169,972/257,622 = 257,622/x
  3. Step 3: Cross multiply
    169,972x = 257,622 × 257,622
  4. Step 4: Simplify right side
    169,972x = 66,369,094,884
  5. Step 5: Solve for x
    x = 66,369,094,884/169,972
  6. Step 6: Final answer
    x = 390,470.75

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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.