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Finding the Third Proportional to 129,620 and 203,070

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Solution

The third proportional to 129,620 and 203,070 is: 318,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620 : 203,070 = 203,070 : x
  2. Step 2: Convert to fraction form
    129,620/203,070 = 203,070/x
  3. Step 3: Cross multiply
    129,620x = 203,070 × 203,070
  4. Step 4: Simplify right side
    129,620x = 41,237,424,900
  5. Step 5: Solve for x
    x = 41,237,424,900/129,620
  6. Step 6: Final answer
    x = 318,140.91

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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.