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Finding the Third Proportional to 387,880 and 822,712

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Solution

The third proportional to 387,880 and 822,712 is: 1,745,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,880 : 822,712 = 822,712 : x
  2. Step 2: Convert to fraction form
    387,880/822,712 = 822,712/x
  3. Step 3: Cross multiply
    387,880x = 822,712 × 822,712
  4. Step 4: Simplify right side
    387,880x = 676,855,034,944
  5. Step 5: Solve for x
    x = 676,855,034,944/387,880
  6. Step 6: Final answer
    x = 1,745,011.43

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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.