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Finding the Third Proportional to 162,206 and 258,298

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Solution

The third proportional to 162,206 and 258,298 is: 411,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,206 : 258,298 = 258,298 : x
  2. Step 2: Convert to fraction form
    162,206/258,298 = 258,298/x
  3. Step 3: Cross multiply
    162,206x = 258,298 × 258,298
  4. Step 4: Simplify right side
    162,206x = 66,717,856,804
  5. Step 5: Solve for x
    x = 66,717,856,804/162,206
  6. Step 6: Final answer
    x = 411,315.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.