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Finding the Third Proportional to 291,632 and 449,887

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Solution

The third proportional to 291,632 and 449,887 is: 694,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,632 : 449,887 = 449,887 : x
  2. Step 2: Convert to fraction form
    291,632/449,887 = 449,887/x
  3. Step 3: Cross multiply
    291,632x = 449,887 × 449,887
  4. Step 4: Simplify right side
    291,632x = 202,398,312,769
  5. Step 5: Solve for x
    x = 202,398,312,769/291,632
  6. Step 6: Final answer
    x = 694,019.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.