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Finding the Third Proportional to 387,706 and 822,364

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Solution

The third proportional to 387,706 and 822,364 is: 1,744,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,706 : 822,364 = 822,364 : x
  2. Step 2: Convert to fraction form
    387,706/822,364 = 822,364/x
  3. Step 3: Cross multiply
    387,706x = 822,364 × 822,364
  4. Step 4: Simplify right side
    387,706x = 676,282,548,496
  5. Step 5: Solve for x
    x = 676,282,548,496/387,706
  6. Step 6: Final answer
    x = 1,744,317.98

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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.