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Finding the Third Proportional to 326,302.50 and 700,806

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Solution

The third proportional to 326,302.50 and 700,806 is: 1,505,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,302.50 : 700,806 = 700,806 : x
  2. Step 2: Convert to fraction form
    326,302.50/700,806 = 700,806/x
  3. Step 3: Cross multiply
    326,302.50x = 700,806 × 700,806
  4. Step 4: Simplify right side
    326,302.50x = 491,129,049,636
  5. Step 5: Solve for x
    x = 491,129,049,636/326,302.50
  6. Step 6: Final answer
    x = 1,505,134.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.