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Finding the Third Proportional to 131,574 and 276,902

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Solution

The third proportional to 131,574 and 276,902 is: 582,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,574 : 276,902 = 276,902 : x
  2. Step 2: Convert to fraction form
    131,574/276,902 = 276,902/x
  3. Step 3: Cross multiply
    131,574x = 276,902 × 276,902
  4. Step 4: Simplify right side
    131,574x = 76,674,717,604
  5. Step 5: Solve for x
    x = 76,674,717,604/131,574
  6. Step 6: Final answer
    x = 582,749.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.