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Finding the Third Proportional to 57,354 and 139,491

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Solution

The third proportional to 57,354 and 139,491 is: 339,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 139,491 = 139,491 : x
  2. Step 2: Convert to fraction form
    57,354/139,491 = 139,491/x
  3. Step 3: Cross multiply
    57,354x = 139,491 × 139,491
  4. Step 4: Simplify right side
    57,354x = 19,457,739,081
  5. Step 5: Solve for x
    x = 19,457,739,081/57,354
  6. Step 6: Final answer
    x = 339,256.88

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.