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Finding the Third Proportional to 2,187,021 and 4,772,005

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Solution

The third proportional to 2,187,021 and 4,772,005 is: 10,412,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,021 : 4,772,005 = 4,772,005 : x
  2. Step 2: Convert to fraction form
    2,187,021/4,772,005 = 4,772,005/x
  3. Step 3: Cross multiply
    2,187,021x = 4,772,005 × 4,772,005
  4. Step 4: Simplify right side
    2,187,021x = 22,772,031,720,025
  5. Step 5: Solve for x
    x = 22,772,031,720,025/2,187,021
  6. Step 6: Final answer
    x = 10,412,351.65

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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.