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Finding the Third Proportional to 370,724 and 809,407

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Solution

The third proportional to 370,724 and 809,407 is: 1,767,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,724 : 809,407 = 809,407 : x
  2. Step 2: Convert to fraction form
    370,724/809,407 = 809,407/x
  3. Step 3: Cross multiply
    370,724x = 809,407 × 809,407
  4. Step 4: Simplify right side
    370,724x = 655,139,691,649
  5. Step 5: Solve for x
    x = 655,139,691,649/370,724
  6. Step 6: Final answer
    x = 1,767,189.85

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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.