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Finding the Third Proportional to 169,269.75 and 257,229

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Solution

The third proportional to 169,269.75 and 257,229 is: 390,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,269.75 : 257,229 = 257,229 : x
  2. Step 2: Convert to fraction form
    169,269.75/257,229 = 257,229/x
  3. Step 3: Cross multiply
    169,269.75x = 257,229 × 257,229
  4. Step 4: Simplify right side
    169,269.75x = 66,166,758,441
  5. Step 5: Solve for x
    x = 66,166,758,441/169,269.75
  6. Step 6: Final answer
    x = 390,895.35

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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.