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Finding the Third Proportional to 170,908 and 265,317

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Solution

The third proportional to 170,908 and 265,317 is: 411,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,908 : 265,317 = 265,317 : x
  2. Step 2: Convert to fraction form
    170,908/265,317 = 265,317/x
  3. Step 3: Cross multiply
    170,908x = 265,317 × 265,317
  4. Step 4: Simplify right side
    170,908x = 70,393,110,489
  5. Step 5: Solve for x
    x = 70,393,110,489/170,908
  6. Step 6: Final answer
    x = 411,877.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.