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Finding the Third Proportional to 986,422 and 2,151,569

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Solution

The third proportional to 986,422 and 2,151,569 is: 4,692,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,422 : 2,151,569 = 2,151,569 : x
  2. Step 2: Convert to fraction form
    986,422/2,151,569 = 2,151,569/x
  3. Step 3: Cross multiply
    986,422x = 2,151,569 × 2,151,569
  4. Step 4: Simplify right side
    986,422x = 4,629,249,161,761
  5. Step 5: Solve for x
    x = 4,629,249,161,761/986,422
  6. Step 6: Final answer
    x = 4,692,970.31

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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.