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Finding the Third Proportional to 8,381,642 and 18,298,564

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Solution

The third proportional to 8,381,642 and 18,298,564 is: 39,948,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,642 : 18,298,564 = 18,298,564 : x
  2. Step 2: Convert to fraction form
    8,381,642/18,298,564 = 18,298,564/x
  3. Step 3: Cross multiply
    8,381,642x = 18,298,564 × 18,298,564
  4. Step 4: Simplify right side
    8,381,642x = 334,837,444,462,096
  5. Step 5: Solve for x
    x = 334,837,444,462,096/8,381,642
  6. Step 6: Final answer
    x = 39,948,907.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.