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Finding the Third Proportional to 387,780.75 and 820,266.75

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Solution

The third proportional to 387,780.75 and 820,266.75 is: 1,735,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,780.75 : 820,266.75 = 820,266.75 : x
  2. Step 2: Convert to fraction form
    387,780.75/820,266.75 = 820,266.75/x
  3. Step 3: Cross multiply
    387,780.75x = 820,266.75 × 820,266.75
  4. Step 4: Simplify right side
    387,780.75x = 672,837,541,155.56
  5. Step 5: Solve for x
    x = 672,837,541,155.56/387,780.75
  6. Step 6: Final answer
    x = 1,735,097.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.