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Finding the Third Proportional to 291,226 and 438,892

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Solution

The third proportional to 291,226 and 438,892 is: 661,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,226 : 438,892 = 438,892 : x
  2. Step 2: Convert to fraction form
    291,226/438,892 = 438,892/x
  3. Step 3: Cross multiply
    291,226x = 438,892 × 438,892
  4. Step 4: Simplify right side
    291,226x = 192,626,187,664
  5. Step 5: Solve for x
    x = 192,626,187,664/291,226
  6. Step 6: Final answer
    x = 661,431.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.