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Finding the Third Proportional to 8,216,161 and 17,731,381

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Solution

The third proportional to 8,216,161 and 17,731,381 is: 38,266,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,161 : 17,731,381 = 17,731,381 : x
  2. Step 2: Convert to fraction form
    8,216,161/17,731,381 = 17,731,381/x
  3. Step 3: Cross multiply
    8,216,161x = 17,731,381 × 17,731,381
  4. Step 4: Simplify right side
    8,216,161x = 314,401,872,167,161
  5. Step 5: Solve for x
    x = 314,401,872,167,161/8,216,161
  6. Step 6: Final answer
    x = 38,266,274.50

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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.