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Finding the Third Proportional to 279,601 and 427,533.50

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Solution

The third proportional to 279,601 and 427,533.50 is: 653,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,601 : 427,533.50 = 427,533.50 : x
  2. Step 2: Convert to fraction form
    279,601/427,533.50 = 427,533.50/x
  3. Step 3: Cross multiply
    279,601x = 427,533.50 × 427,533.50
  4. Step 4: Simplify right side
    279,601x = 182,784,893,622.25
  5. Step 5: Solve for x
    x = 182,784,893,622.25/279,601
  6. Step 6: Final answer
    x = 653,734.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.