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Finding the Third Proportional to 999,781 and 1,428,678

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Solution

The third proportional to 999,781 and 1,428,678 is: 2,041,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,781 : 1,428,678 = 1,428,678 : x
  2. Step 2: Convert to fraction form
    999,781/1,428,678 = 1,428,678/x
  3. Step 3: Cross multiply
    999,781x = 1,428,678 × 1,428,678
  4. Step 4: Simplify right side
    999,781x = 2,041,120,827,684
  5. Step 5: Solve for x
    x = 2,041,120,827,684/999,781
  6. Step 6: Final answer
    x = 2,041,567.93

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