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Finding the Third Proportional to 374,866 and 816,287

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Solution

The third proportional to 374,866 and 816,287 is: 1,777,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,866 : 816,287 = 816,287 : x
  2. Step 2: Convert to fraction form
    374,866/816,287 = 816,287/x
  3. Step 3: Cross multiply
    374,866x = 816,287 × 816,287
  4. Step 4: Simplify right side
    374,866x = 666,324,466,369
  5. Step 5: Solve for x
    x = 666,324,466,369/374,866
  6. Step 6: Final answer
    x = 1,777,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.