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Finding the Third Proportional to 378,680 and 816,409

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Solution

The third proportional to 378,680 and 816,409 is: 1,760,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,680 : 816,409 = 816,409 : x
  2. Step 2: Convert to fraction form
    378,680/816,409 = 816,409/x
  3. Step 3: Cross multiply
    378,680x = 816,409 × 816,409
  4. Step 4: Simplify right side
    378,680x = 666,523,655,281
  5. Step 5: Solve for x
    x = 666,523,655,281/378,680
  6. Step 6: Final answer
    x = 1,760,123.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.