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Finding the Third Proportional to 8,538,836 and 18,298,018

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Solution

The third proportional to 8,538,836 and 18,298,018 is: 39,211,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,836 : 18,298,018 = 18,298,018 : x
  2. Step 2: Convert to fraction form
    8,538,836/18,298,018 = 18,298,018/x
  3. Step 3: Cross multiply
    8,538,836x = 18,298,018 × 18,298,018
  4. Step 4: Simplify right side
    8,538,836x = 334,817,462,728,324
  5. Step 5: Solve for x
    x = 334,817,462,728,324/8,538,836
  6. Step 6: Final answer
    x = 39,211,136.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.