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Finding the Third Proportional to 170,721 and 258,429

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Solution

The third proportional to 170,721 and 258,429 is: 391,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,721 : 258,429 = 258,429 : x
  2. Step 2: Convert to fraction form
    170,721/258,429 = 258,429/x
  3. Step 3: Cross multiply
    170,721x = 258,429 × 258,429
  4. Step 4: Simplify right side
    170,721x = 66,785,548,041
  5. Step 5: Solve for x
    x = 66,785,548,041/170,721
  6. Step 6: Final answer
    x = 391,197.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.