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Finding the Third Proportional to 131,572 and 276,898

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Solution

The third proportional to 131,572 and 276,898 is: 582,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,572 : 276,898 = 276,898 : x
  2. Step 2: Convert to fraction form
    131,572/276,898 = 276,898/x
  3. Step 3: Cross multiply
    131,572x = 276,898 × 276,898
  4. Step 4: Simplify right side
    131,572x = 76,672,502,404
  5. Step 5: Solve for x
    x = 76,672,502,404/131,572
  6. Step 6: Final answer
    x = 582,741.79

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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.