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Finding the Third Proportional to 478,906.59 and 720,370.97

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Solution

The third proportional to 478,906.59 and 720,370.97 is: 1,083,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,906.59 : 720,370.97 = 720,370.97 : x
  2. Step 2: Convert to fraction form
    478,906.59/720,370.97 = 720,370.97/x
  3. Step 3: Cross multiply
    478,906.59x = 720,370.97 × 720,370.97
  4. Step 4: Simplify right side
    478,906.59x = 518,934,332,617.81
  5. Step 5: Solve for x
    x = 518,934,332,617.81/478,906.59
  6. Step 6: Final answer
    x = 1,083,581.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.