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Finding the Third Proportional to 370,834 and 809,344

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Solution

The third proportional to 370,834 and 809,344 is: 1,766,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,834 : 809,344 = 809,344 : x
  2. Step 2: Convert to fraction form
    370,834/809,344 = 809,344/x
  3. Step 3: Cross multiply
    370,834x = 809,344 × 809,344
  4. Step 4: Simplify right side
    370,834x = 655,037,710,336
  5. Step 5: Solve for x
    x = 655,037,710,336/370,834
  6. Step 6: Final answer
    x = 1,766,390.65

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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.