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Finding the Third Proportional to 437,247 and 664,942.50

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Solution

The third proportional to 437,247 and 664,942.50 is: 1,011,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,247 : 664,942.50 = 664,942.50 : x
  2. Step 2: Convert to fraction form
    437,247/664,942.50 = 664,942.50/x
  3. Step 3: Cross multiply
    437,247x = 664,942.50 × 664,942.50
  4. Step 4: Simplify right side
    437,247x = 442,148,528,306.25
  5. Step 5: Solve for x
    x = 442,148,528,306.25/437,247
  6. Step 6: Final answer
    x = 1,011,209.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.