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Finding the Third Proportional to 321,871.50 and 692,829

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Solution

The third proportional to 321,871.50 and 692,829 is: 1,491,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.50 : 692,829 = 692,829 : x
  2. Step 2: Convert to fraction form
    321,871.50/692,829 = 692,829/x
  3. Step 3: Cross multiply
    321,871.50x = 692,829 × 692,829
  4. Step 4: Simplify right side
    321,871.50x = 480,012,023,241
  5. Step 5: Solve for x
    x = 480,012,023,241/321,871.50
  6. Step 6: Final answer
    x = 1,491,315.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.