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Finding the Third Proportional to 982,888 and 2,102,397

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Solution

The third proportional to 982,888 and 2,102,397 is: 4,497,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,888 : 2,102,397 = 2,102,397 : x
  2. Step 2: Convert to fraction form
    982,888/2,102,397 = 2,102,397/x
  3. Step 3: Cross multiply
    982,888x = 2,102,397 × 2,102,397
  4. Step 4: Simplify right side
    982,888x = 4,420,073,145,609
  5. Step 5: Solve for x
    x = 4,420,073,145,609/982,888
  6. Step 6: Final answer
    x = 4,497,026.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.