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Finding the Third Proportional to 202,289 and 291,391

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Solution

The third proportional to 202,289 and 291,391 is: 419,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,289 : 291,391 = 291,391 : x
  2. Step 2: Convert to fraction form
    202,289/291,391 = 291,391/x
  3. Step 3: Cross multiply
    202,289x = 291,391 × 291,391
  4. Step 4: Simplify right side
    202,289x = 84,908,714,881
  5. Step 5: Solve for x
    x = 84,908,714,881/202,289
  6. Step 6: Final answer
    x = 419,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.