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Finding the Third Proportional to 810,540 and 1,271,438.44

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Solution

The third proportional to 810,540 and 1,271,438.44 is: 1,994,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,540 : 1,271,438.44 = 1,271,438.44 : x
  2. Step 2: Convert to fraction form
    810,540/1,271,438.44 = 1,271,438.44/x
  3. Step 3: Cross multiply
    810,540x = 1,271,438.44 × 1,271,438.44
  4. Step 4: Simplify right side
    810,540x = 1,616,555,700,352.44
  5. Step 5: Solve for x
    x = 1,616,555,700,352.44/810,540
  6. Step 6: Final answer
    x = 1,994,418.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.