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Finding the Third Proportional to 259,904 and 391,776

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Solution

The third proportional to 259,904 and 391,776 is: 590,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904 : 391,776 = 391,776 : x
  2. Step 2: Convert to fraction form
    259,904/391,776 = 391,776/x
  3. Step 3: Cross multiply
    259,904x = 391,776 × 391,776
  4. Step 4: Simplify right side
    259,904x = 153,488,434,176
  5. Step 5: Solve for x
    x = 153,488,434,176/259,904
  6. Step 6: Final answer
    x = 590,558.18

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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.