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Finding the Third Proportional to 215,424.56 and 340,956.84

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Solution

The third proportional to 215,424.56 and 340,956.84 is: 539,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424.56 : 340,956.84 = 340,956.84 : x
  2. Step 2: Convert to fraction form
    215,424.56/340,956.84 = 340,956.84/x
  3. Step 3: Cross multiply
    215,424.56x = 340,956.84 × 340,956.84
  4. Step 4: Simplify right side
    215,424.56x = 116,251,569,299.96
  5. Step 5: Solve for x
    x = 116,251,569,299.96/215,424.56
  6. Step 6: Final answer
    x = 539,639.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.