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Finding the Third Proportional to 129,420 and 203,060

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Solution

The third proportional to 129,420 and 203,060 is: 318,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,420 : 203,060 = 203,060 : x
  2. Step 2: Convert to fraction form
    129,420/203,060 = 203,060/x
  3. Step 3: Cross multiply
    129,420x = 203,060 × 203,060
  4. Step 4: Simplify right side
    129,420x = 41,233,363,600
  5. Step 5: Solve for x
    x = 41,233,363,600/129,420
  6. Step 6: Final answer
    x = 318,601.17

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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.