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Finding the Third Proportional to 320,502.56 and 700,540.13

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Solution

The third proportional to 320,502.56 and 700,540.13 is: 1,531,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,502.56 : 700,540.13 = 700,540.13 : x
  2. Step 2: Convert to fraction form
    320,502.56/700,540.13 = 700,540.13/x
  3. Step 3: Cross multiply
    320,502.56x = 700,540.13 × 700,540.13
  4. Step 4: Simplify right side
    320,502.56x = 490,756,466,735.02
  5. Step 5: Solve for x
    x = 490,756,466,735.02/320,502.56
  6. Step 6: Final answer
    x = 1,531,209.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.