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Finding the Third Proportional to 189,508 and 260,358

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Solution

The third proportional to 189,508 and 260,358 is: 357,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,508 : 260,358 = 260,358 : x
  2. Step 2: Convert to fraction form
    189,508/260,358 = 260,358/x
  3. Step 3: Cross multiply
    189,508x = 260,358 × 260,358
  4. Step 4: Simplify right side
    189,508x = 67,786,288,164
  5. Step 5: Solve for x
    x = 67,786,288,164/189,508
  6. Step 6: Final answer
    x = 357,696.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.