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Finding the Third Proportional to 12,202,182 and 18,428,328

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Solution

The third proportional to 12,202,182 and 18,428,328 is: 27,831,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202,182 : 18,428,328 = 18,428,328 : x
  2. Step 2: Convert to fraction form
    12,202,182/18,428,328 = 18,428,328/x
  3. Step 3: Cross multiply
    12,202,182x = 18,428,328 × 18,428,328
  4. Step 4: Simplify right side
    12,202,182x = 339,603,272,875,584
  5. Step 5: Solve for x
    x = 339,603,272,875,584/12,202,182
  6. Step 6: Final answer
    x = 27,831,356.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.