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Finding the Third Proportional to 169,273 and 257,235

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Solution

The third proportional to 169,273 and 257,235 is: 390,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,273 : 257,235 = 257,235 : x
  2. Step 2: Convert to fraction form
    169,273/257,235 = 257,235/x
  3. Step 3: Cross multiply
    169,273x = 257,235 × 257,235
  4. Step 4: Simplify right side
    169,273x = 66,169,845,225
  5. Step 5: Solve for x
    x = 66,169,845,225/169,273
  6. Step 6: Final answer
    x = 390,906.08

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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.