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Finding the Third Proportional to 8,426,900 and 18,675,944

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Solution

The third proportional to 8,426,900 and 18,675,944 is: 41,390,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426,900 : 18,675,944 = 18,675,944 : x
  2. Step 2: Convert to fraction form
    8,426,900/18,675,944 = 18,675,944/x
  3. Step 3: Cross multiply
    8,426,900x = 18,675,944 × 18,675,944
  4. Step 4: Simplify right side
    8,426,900x = 348,790,884,291,136
  5. Step 5: Solve for x
    x = 348,790,884,291,136/8,426,900
  6. Step 6: Final answer
    x = 41,390,177.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.