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Finding the Third Proportional to 831,104 and 1,289,424

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Solution

The third proportional to 831,104 and 1,289,424 is: 2,000,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,104 : 1,289,424 = 1,289,424 : x
  2. Step 2: Convert to fraction form
    831,104/1,289,424 = 1,289,424/x
  3. Step 3: Cross multiply
    831,104x = 1,289,424 × 1,289,424
  4. Step 4: Simplify right side
    831,104x = 1,662,614,251,776
  5. Step 5: Solve for x
    x = 1,662,614,251,776/831,104
  6. Step 6: Final answer
    x = 2,000,488.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.