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Finding the Third Proportional to 326,034 and 691,320

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Solution

The third proportional to 326,034 and 691,320 is: 1,465,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,034 : 691,320 = 691,320 : x
  2. Step 2: Convert to fraction form
    326,034/691,320 = 691,320/x
  3. Step 3: Cross multiply
    326,034x = 691,320 × 691,320
  4. Step 4: Simplify right side
    326,034x = 477,923,342,400
  5. Step 5: Solve for x
    x = 477,923,342,400/326,034
  6. Step 6: Final answer
    x = 1,465,869.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.