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Finding the Third Proportional to 986,728 and 2,157,992

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Solution

The third proportional to 986,728 and 2,157,992 is: 4,719,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,728 : 2,157,992 = 2,157,992 : x
  2. Step 2: Convert to fraction form
    986,728/2,157,992 = 2,157,992/x
  3. Step 3: Cross multiply
    986,728x = 2,157,992 × 2,157,992
  4. Step 4: Simplify right side
    986,728x = 4,656,929,472,064
  5. Step 5: Solve for x
    x = 4,656,929,472,064/986,728
  6. Step 6: Final answer
    x = 4,719,567.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.