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Finding the Third Proportional to 259,994.75 and 391,836.50

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Solution

The third proportional to 259,994.75 and 391,836.50 is: 590,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,994.75 : 391,836.50 = 391,836.50 : x
  2. Step 2: Convert to fraction form
    259,994.75/391,836.50 = 391,836.50/x
  3. Step 3: Cross multiply
    259,994.75x = 391,836.50 × 391,836.50
  4. Step 4: Simplify right side
    259,994.75x = 153,535,842,732.25
  5. Step 5: Solve for x
    x = 153,535,842,732.25/259,994.75
  6. Step 6: Final answer
    x = 590,534.40

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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.