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Finding the Third Proportional to 803,524 and 1,215,653

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Solution

The third proportional to 803,524 and 1,215,653 is: 1,839,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,524 : 1,215,653 = 1,215,653 : x
  2. Step 2: Convert to fraction form
    803,524/1,215,653 = 1,215,653/x
  3. Step 3: Cross multiply
    803,524x = 1,215,653 × 1,215,653
  4. Step 4: Simplify right side
    803,524x = 1,477,812,216,409
  5. Step 5: Solve for x
    x = 1,477,812,216,409/803,524
  6. Step 6: Final answer
    x = 1,839,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.