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Finding the Third Proportional to 130,224 and 276,435

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Solution

The third proportional to 130,224 and 276,435 is: 586,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,224 : 276,435 = 276,435 : x
  2. Step 2: Convert to fraction form
    130,224/276,435 = 276,435/x
  3. Step 3: Cross multiply
    130,224x = 276,435 × 276,435
  4. Step 4: Simplify right side
    130,224x = 76,416,309,225
  5. Step 5: Solve for x
    x = 76,416,309,225/130,224
  6. Step 6: Final answer
    x = 586,806.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.