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Finding the Third Proportional to 131,266 and 286,589

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Solution

The third proportional to 131,266 and 286,589 is: 625,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,266 : 286,589 = 286,589 : x
  2. Step 2: Convert to fraction form
    131,266/286,589 = 286,589/x
  3. Step 3: Cross multiply
    131,266x = 286,589 × 286,589
  4. Step 4: Simplify right side
    131,266x = 82,133,254,921
  5. Step 5: Solve for x
    x = 82,133,254,921/131,266
  6. Step 6: Final answer
    x = 625,700.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.