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Finding the Third Proportional to 276,564.38 and 378,492.75

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Solution

The third proportional to 276,564.38 and 378,492.75 is: 517,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,564.38 : 378,492.75 = 378,492.75 : x
  2. Step 2: Convert to fraction form
    276,564.38/378,492.75 = 378,492.75/x
  3. Step 3: Cross multiply
    276,564.38x = 378,492.75 × 378,492.75
  4. Step 4: Simplify right side
    276,564.38x = 143,256,761,802.56
  5. Step 5: Solve for x
    x = 143,256,761,802.56/276,564.38
  6. Step 6: Final answer
    x = 517,987.04

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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.