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Finding the Third Proportional to 91,983 and 140,646

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Solution

The third proportional to 91,983 and 140,646 is: 215,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,983 : 140,646 = 140,646 : x
  2. Step 2: Convert to fraction form
    91,983/140,646 = 140,646/x
  3. Step 3: Cross multiply
    91,983x = 140,646 × 140,646
  4. Step 4: Simplify right side
    91,983x = 19,781,297,316
  5. Step 5: Solve for x
    x = 19,781,297,316/91,983
  6. Step 6: Final answer
    x = 215,053.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.