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Finding the Third Proportional to 999,399 and 1,424,340

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Solution

The third proportional to 999,399 and 1,424,340 is: 2,029,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,399 : 1,424,340 = 1,424,340 : x
  2. Step 2: Convert to fraction form
    999,399/1,424,340 = 1,424,340/x
  3. Step 3: Cross multiply
    999,399x = 1,424,340 × 1,424,340
  4. Step 4: Simplify right side
    999,399x = 2,028,744,435,600
  5. Step 5: Solve for x
    x = 2,028,744,435,600/999,399
  6. Step 6: Final answer
    x = 2,029,964.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.