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Finding the Third Proportional to 387,766.13 and 820,243.13

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Solution

The third proportional to 387,766.13 and 820,243.13 is: 1,735,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,766.13 : 820,243.13 = 820,243.13 : x
  2. Step 2: Convert to fraction form
    387,766.13/820,243.13 = 820,243.13/x
  3. Step 3: Cross multiply
    387,766.13x = 820,243.13 × 820,243.13
  4. Step 4: Simplify right side
    387,766.13x = 672,798,784,109.77
  5. Step 5: Solve for x
    x = 672,798,784,109.77/387,766.13
  6. Step 6: Final answer
    x = 1,735,063.33

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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.