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Finding the Third Proportional to 297,397.83 and 478,747.97

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Solution

The third proportional to 297,397.83 and 478,747.97 is: 770,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,397.83 : 478,747.97 = 478,747.97 : x
  2. Step 2: Convert to fraction form
    297,397.83/478,747.97 = 478,747.97/x
  3. Step 3: Cross multiply
    297,397.83x = 478,747.97 × 478,747.97
  4. Step 4: Simplify right side
    297,397.83x = 229,199,617,582.25
  5. Step 5: Solve for x
    x = 229,199,617,582.25/297,397.83
  6. Step 6: Final answer
    x = 770,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.