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Finding the Third Proportional to 387,920 and 822,020

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Solution

The third proportional to 387,920 and 822,020 is: 1,741,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,920 : 822,020 = 822,020 : x
  2. Step 2: Convert to fraction form
    387,920/822,020 = 822,020/x
  3. Step 3: Cross multiply
    387,920x = 822,020 × 822,020
  4. Step 4: Simplify right side
    387,920x = 675,716,880,400
  5. Step 5: Solve for x
    x = 675,716,880,400/387,920
  6. Step 6: Final answer
    x = 1,741,897.51

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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.