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Finding the Third Proportional to 57,931 and 135,335

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Solution

The third proportional to 57,931 and 135,335 is: 316,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,931 : 135,335 = 135,335 : x
  2. Step 2: Convert to fraction form
    57,931/135,335 = 135,335/x
  3. Step 3: Cross multiply
    57,931x = 135,335 × 135,335
  4. Step 4: Simplify right side
    57,931x = 18,315,562,225
  5. Step 5: Solve for x
    x = 18,315,562,225/57,931
  6. Step 6: Final answer
    x = 316,161.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.