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Finding the Third Proportional to 149,438 and 322,491

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Solution

The third proportional to 149,438 and 322,491 is: 695,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,438 : 322,491 = 322,491 : x
  2. Step 2: Convert to fraction form
    149,438/322,491 = 322,491/x
  3. Step 3: Cross multiply
    149,438x = 322,491 × 322,491
  4. Step 4: Simplify right side
    149,438x = 104,000,445,081
  5. Step 5: Solve for x
    x = 104,000,445,081/149,438
  6. Step 6: Final answer
    x = 695,943.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.