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Finding the Third Proportional to 427,455 and 664,516.50

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Solution

The third proportional to 427,455 and 664,516.50 is: 1,033,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,455 : 664,516.50 = 664,516.50 : x
  2. Step 2: Convert to fraction form
    427,455/664,516.50 = 664,516.50/x
  3. Step 3: Cross multiply
    427,455x = 664,516.50 × 664,516.50
  4. Step 4: Simplify right side
    427,455x = 441,582,178,772.25
  5. Step 5: Solve for x
    x = 441,582,178,772.25/427,455
  6. Step 6: Final answer
    x = 1,033,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.