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Finding the Third Proportional to 370,729 and 809,416

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Solution

The third proportional to 370,729 and 809,416 is: 1,767,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,729 : 809,416 = 809,416 : x
  2. Step 2: Convert to fraction form
    370,729/809,416 = 809,416/x
  3. Step 3: Cross multiply
    370,729x = 809,416 × 809,416
  4. Step 4: Simplify right side
    370,729x = 655,154,261,056
  5. Step 5: Solve for x
    x = 655,154,261,056/370,729
  6. Step 6: Final answer
    x = 1,767,205.32

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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.