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Finding the Third Proportional to 199,471 and 291,491

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Solution

The third proportional to 199,471 and 291,491 is: 425,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,471 : 291,491 = 291,491 : x
  2. Step 2: Convert to fraction form
    199,471/291,491 = 291,491/x
  3. Step 3: Cross multiply
    199,471x = 291,491 × 291,491
  4. Step 4: Simplify right side
    199,471x = 84,967,003,081
  5. Step 5: Solve for x
    x = 84,967,003,081/199,471
  6. Step 6: Final answer
    x = 425,961.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.