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Finding the Third Proportional to 370,726 and 809,411

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Solution

The third proportional to 370,726 and 809,411 is: 1,767,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,726 : 809,411 = 809,411 : x
  2. Step 2: Convert to fraction form
    370,726/809,411 = 809,411/x
  3. Step 3: Cross multiply
    370,726x = 809,411 × 809,411
  4. Step 4: Simplify right side
    370,726x = 655,146,166,921
  5. Step 5: Solve for x
    x = 655,146,166,921/370,726
  6. Step 6: Final answer
    x = 1,767,197.79

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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.