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Finding the Third Proportional to 259,909 and 391,784

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Solution

The third proportional to 259,909 and 391,784 is: 590,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,909 : 391,784 = 391,784 : x
  2. Step 2: Convert to fraction form
    259,909/391,784 = 391,784/x
  3. Step 3: Cross multiply
    259,909x = 391,784 × 391,784
  4. Step 4: Simplify right side
    259,909x = 153,494,702,656
  5. Step 5: Solve for x
    x = 153,494,702,656/259,909
  6. Step 6: Final answer
    x = 590,570.94

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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.