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Finding the Third Proportional to 387,769 and 820,248

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Solution

The third proportional to 387,769 and 820,248 is: 1,735,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,769 : 820,248 = 820,248 : x
  2. Step 2: Convert to fraction form
    387,769/820,248 = 820,248/x
  3. Step 3: Cross multiply
    387,769x = 820,248 × 820,248
  4. Step 4: Simplify right side
    387,769x = 672,806,781,504
  5. Step 5: Solve for x
    x = 672,806,781,504/387,769
  6. Step 6: Final answer
    x = 1,735,071.09

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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.