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Finding the Third Proportional to 92,908 and 140,232.50

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Solution

The third proportional to 92,908 and 140,232.50 is: 211,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,908 : 140,232.50 = 140,232.50 : x
  2. Step 2: Convert to fraction form
    92,908/140,232.50 = 140,232.50/x
  3. Step 3: Cross multiply
    92,908x = 140,232.50 × 140,232.50
  4. Step 4: Simplify right side
    92,908x = 19,665,154,056.25
  5. Step 5: Solve for x
    x = 19,665,154,056.25/92,908
  6. Step 6: Final answer
    x = 211,662.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.