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Finding the Third Proportional to 982,928 and 2,143,712

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Solution

The third proportional to 982,928 and 2,143,712 is: 4,675,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,928 : 2,143,712 = 2,143,712 : x
  2. Step 2: Convert to fraction form
    982,928/2,143,712 = 2,143,712/x
  3. Step 3: Cross multiply
    982,928x = 2,143,712 × 2,143,712
  4. Step 4: Simplify right side
    982,928x = 4,595,501,138,944
  5. Step 5: Solve for x
    x = 4,595,501,138,944/982,928
  6. Step 6: Final answer
    x = 4,675,318.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.