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Finding the Third Proportional to 129,894 and 203,043

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Solution

The third proportional to 129,894 and 203,043 is: 317,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,894 : 203,043 = 203,043 : x
  2. Step 2: Convert to fraction form
    129,894/203,043 = 203,043/x
  3. Step 3: Cross multiply
    129,894x = 203,043 × 203,043
  4. Step 4: Simplify right side
    129,894x = 41,226,459,849
  5. Step 5: Solve for x
    x = 41,226,459,849/129,894
  6. Step 6: Final answer
    x = 317,385.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.