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Finding the Third Proportional to 12,278,075 and 20,462,226

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Solution

The third proportional to 12,278,075 and 20,462,226 is: 34,101,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,075 : 20,462,226 = 20,462,226 : x
  2. Step 2: Convert to fraction form
    12,278,075/20,462,226 = 20,462,226/x
  3. Step 3: Cross multiply
    12,278,075x = 20,462,226 × 20,462,226
  4. Step 4: Simplify right side
    12,278,075x = 418,702,692,875,076
  5. Step 5: Solve for x
    x = 418,702,692,875,076/12,278,075
  6. Step 6: Final answer
    x = 34,101,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.