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Finding the Third Proportional to 140,276 and 203,043

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Solution

The third proportional to 140,276 and 203,043 is: 293,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,276 : 203,043 = 203,043 : x
  2. Step 2: Convert to fraction form
    140,276/203,043 = 203,043/x
  3. Step 3: Cross multiply
    140,276x = 203,043 × 203,043
  4. Step 4: Simplify right side
    140,276x = 41,226,459,849
  5. Step 5: Solve for x
    x = 41,226,459,849/140,276
  6. Step 6: Final answer
    x = 293,895.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.