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Finding the Third Proportional to 57,943 and 139,541

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Solution

The third proportional to 57,943 and 139,541 is: 336,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,943 : 139,541 = 139,541 : x
  2. Step 2: Convert to fraction form
    57,943/139,541 = 139,541/x
  3. Step 3: Cross multiply
    57,943x = 139,541 × 139,541
  4. Step 4: Simplify right side
    57,943x = 19,471,690,681
  5. Step 5: Solve for x
    x = 19,471,690,681/57,943
  6. Step 6: Final answer
    x = 336,049.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.