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Finding the Third Proportional to 988,478 and 2,158,234

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Solution

The third proportional to 988,478 and 2,158,234 is: 4,712,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,478 : 2,158,234 = 2,158,234 : x
  2. Step 2: Convert to fraction form
    988,478/2,158,234 = 2,158,234/x
  3. Step 3: Cross multiply
    988,478x = 2,158,234 × 2,158,234
  4. Step 4: Simplify right side
    988,478x = 4,657,973,998,756
  5. Step 5: Solve for x
    x = 4,657,973,998,756/988,478
  6. Step 6: Final answer
    x = 4,712,268.76

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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.