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Finding the Third Proportional to 370,709 and 809,374

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Solution

The third proportional to 370,709 and 809,374 is: 1,767,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,709 : 809,374 = 809,374 : x
  2. Step 2: Convert to fraction form
    370,709/809,374 = 809,374/x
  3. Step 3: Cross multiply
    370,709x = 809,374 × 809,374
  4. Step 4: Simplify right side
    370,709x = 655,086,271,876
  5. Step 5: Solve for x
    x = 655,086,271,876/370,709
  6. Step 6: Final answer
    x = 1,767,117.26

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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.