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Finding the Third Proportional to 370,670 and 807,866

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Solution

The third proportional to 370,670 and 807,866 is: 1,760,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,670 : 807,866 = 807,866 : x
  2. Step 2: Convert to fraction form
    370,670/807,866 = 807,866/x
  3. Step 3: Cross multiply
    370,670x = 807,866 × 807,866
  4. Step 4: Simplify right side
    370,670x = 652,647,473,956
  5. Step 5: Solve for x
    x = 652,647,473,956/370,670
  6. Step 6: Final answer
    x = 1,760,723.75

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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.