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Finding the Third Proportional to 258,200 and 391,164

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Solution

The third proportional to 258,200 and 391,164 is: 592,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,200 : 391,164 = 391,164 : x
  2. Step 2: Convert to fraction form
    258,200/391,164 = 391,164/x
  3. Step 3: Cross multiply
    258,200x = 391,164 × 391,164
  4. Step 4: Simplify right side
    258,200x = 153,009,274,896
  5. Step 5: Solve for x
    x = 153,009,274,896/258,200
  6. Step 6: Final answer
    x = 592,599.83

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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.