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Finding the Third Proportional to 2,102,158 and 3,246,396

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Solution

The third proportional to 2,102,158 and 3,246,396 is: 5,013,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,158 : 3,246,396 = 3,246,396 : x
  2. Step 2: Convert to fraction form
    2,102,158/3,246,396 = 3,246,396/x
  3. Step 3: Cross multiply
    2,102,158x = 3,246,396 × 3,246,396
  4. Step 4: Simplify right side
    2,102,158x = 10,539,086,988,816
  5. Step 5: Solve for x
    x = 10,539,086,988,816/2,102,158
  6. Step 6: Final answer
    x = 5,013,460.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.