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Finding the Third Proportional to 259,670.81 and 391,214.81

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Solution

The third proportional to 259,670.81 and 391,214.81 is: 589,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,670.81 : 391,214.81 = 391,214.81 : x
  2. Step 2: Convert to fraction form
    259,670.81/391,214.81 = 391,214.81/x
  3. Step 3: Cross multiply
    259,670.81x = 391,214.81 × 391,214.81
  4. Step 4: Simplify right side
    259,670.81x = 153,049,029,519.41
  5. Step 5: Solve for x
    x = 153,049,029,519.41/259,670.81
  6. Step 6: Final answer
    x = 589,396.35

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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.