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Finding the Third Proportional to 999,820 and 1,424,905

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Solution

The third proportional to 999,820 and 1,424,905 is: 2,030,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,820 : 1,424,905 = 1,424,905 : x
  2. Step 2: Convert to fraction form
    999,820/1,424,905 = 1,424,905/x
  3. Step 3: Cross multiply
    999,820x = 1,424,905 × 1,424,905
  4. Step 4: Simplify right side
    999,820x = 2,030,354,259,025
  5. Step 5: Solve for x
    x = 2,030,354,259,025/999,820
  6. Step 6: Final answer
    x = 2,030,719.79

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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.