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Finding the Third Proportional to 129,602 and 203,043

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Solution

The third proportional to 129,602 and 203,043 is: 318,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,602 : 203,043 = 203,043 : x
  2. Step 2: Convert to fraction form
    129,602/203,043 = 203,043/x
  3. Step 3: Cross multiply
    129,602x = 203,043 × 203,043
  4. Step 4: Simplify right side
    129,602x = 41,226,459,849
  5. Step 5: Solve for x
    x = 41,226,459,849/129,602
  6. Step 6: Final answer
    x = 318,100.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.