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Finding the Third Proportional to 8,216,120 and 17,731,309

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Solution

The third proportional to 8,216,120 and 17,731,309 is: 38,266,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,120 : 17,731,309 = 17,731,309 : x
  2. Step 2: Convert to fraction form
    8,216,120/17,731,309 = 17,731,309/x
  3. Step 3: Cross multiply
    8,216,120x = 17,731,309 × 17,731,309
  4. Step 4: Simplify right side
    8,216,120x = 314,399,318,853,481
  5. Step 5: Solve for x
    x = 314,399,318,853,481/8,216,120
  6. Step 6: Final answer
    x = 38,266,154.69

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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.