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Finding the Third Proportional to 8,386,953 and 18,344,170

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Solution

The third proportional to 8,386,953 and 18,344,170 is: 40,122,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,953 : 18,344,170 = 18,344,170 : x
  2. Step 2: Convert to fraction form
    8,386,953/18,344,170 = 18,344,170/x
  3. Step 3: Cross multiply
    8,386,953x = 18,344,170 × 18,344,170
  4. Step 4: Simplify right side
    8,386,953x = 336,508,572,988,900
  5. Step 5: Solve for x
    x = 336,508,572,988,900/8,386,953
  6. Step 6: Final answer
    x = 40,122,863.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.