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Finding the Third Proportional to 91,857 and 134,640

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Solution

The third proportional to 91,857 and 134,640 is: 197,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857 : 134,640 = 134,640 : x
  2. Step 2: Convert to fraction form
    91,857/134,640 = 134,640/x
  3. Step 3: Cross multiply
    91,857x = 134,640 × 134,640
  4. Step 4: Simplify right side
    91,857x = 18,127,929,600
  5. Step 5: Solve for x
    x = 18,127,929,600/91,857
  6. Step 6: Final answer
    x = 197,349.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.