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Finding the Third Proportional to 310,155.33 and 681,478.31

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Solution

The third proportional to 310,155.33 and 681,478.31 is: 1,497,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,155.33 : 681,478.31 = 681,478.31 : x
  2. Step 2: Convert to fraction form
    310,155.33/681,478.31 = 681,478.31/x
  3. Step 3: Cross multiply
    310,155.33x = 681,478.31 × 681,478.31
  4. Step 4: Simplify right side
    310,155.33x = 464,412,690,407.85
  5. Step 5: Solve for x
    x = 464,412,690,407.85/310,155.33
  6. Step 6: Final answer
    x = 1,497,355.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.