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Finding the Third Proportional to 387,777 and 820,264

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Solution

The third proportional to 387,777 and 820,264 is: 1,735,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,777 : 820,264 = 820,264 : x
  2. Step 2: Convert to fraction form
    387,777/820,264 = 820,264/x
  3. Step 3: Cross multiply
    387,777x = 820,264 × 820,264
  4. Step 4: Simplify right side
    387,777x = 672,833,029,696
  5. Step 5: Solve for x
    x = 672,833,029,696/387,777
  6. Step 6: Final answer
    x = 1,735,102.98

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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.