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Finding the Third Proportional to 3,669,457 and 8,290,229

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Solution

The third proportional to 3,669,457 and 8,290,229 is: 18,729,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,457 : 8,290,229 = 8,290,229 : x
  2. Step 2: Convert to fraction form
    3,669,457/8,290,229 = 8,290,229/x
  3. Step 3: Cross multiply
    3,669,457x = 8,290,229 × 8,290,229
  4. Step 4: Simplify right side
    3,669,457x = 68,727,896,872,441
  5. Step 5: Solve for x
    x = 68,727,896,872,441/3,669,457
  6. Step 6: Final answer
    x = 18,729,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.