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Finding the Third Proportional to 130,216.50 and 276,432.75

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Solution

The third proportional to 130,216.50 and 276,432.75 is: 586,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,216.50 : 276,432.75 = 276,432.75 : x
  2. Step 2: Convert to fraction form
    130,216.50/276,432.75 = 276,432.75/x
  3. Step 3: Cross multiply
    130,216.50x = 276,432.75 × 276,432.75
  4. Step 4: Simplify right side
    130,216.50x = 76,415,065,272.56
  5. Step 5: Solve for x
    x = 76,415,065,272.56/130,216.50
  6. Step 6: Final answer
    x = 586,830.90

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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.