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Finding the Third Proportional to 259,910 and 391,786

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Solution

The third proportional to 259,910 and 391,786 is: 590,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,910 : 391,786 = 391,786 : x
  2. Step 2: Convert to fraction form
    259,910/391,786 = 391,786/x
  3. Step 3: Cross multiply
    259,910x = 391,786 × 391,786
  4. Step 4: Simplify right side
    259,910x = 153,496,269,796
  5. Step 5: Solve for x
    x = 153,496,269,796/259,910
  6. Step 6: Final answer
    x = 590,574.70

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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.