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Finding the Third Proportional to 3,140,288 and 6,777,952

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Solution

The third proportional to 3,140,288 and 6,777,952 is: 14,629,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,288 : 6,777,952 = 6,777,952 : x
  2. Step 2: Convert to fraction form
    3,140,288/6,777,952 = 6,777,952/x
  3. Step 3: Cross multiply
    3,140,288x = 6,777,952 × 6,777,952
  4. Step 4: Simplify right side
    3,140,288x = 45,940,633,314,304
  5. Step 5: Solve for x
    x = 45,940,633,314,304/3,140,288
  6. Step 6: Final answer
    x = 14,629,433.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.