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Finding the Third Proportional to 326,038 and 691,328

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Solution

The third proportional to 326,038 and 691,328 is: 1,465,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,038 : 691,328 = 691,328 : x
  2. Step 2: Convert to fraction form
    326,038/691,328 = 691,328/x
  3. Step 3: Cross multiply
    326,038x = 691,328 × 691,328
  4. Step 4: Simplify right side
    326,038x = 477,934,403,584
  5. Step 5: Solve for x
    x = 477,934,403,584/326,038
  6. Step 6: Final answer
    x = 1,465,885.58

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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.