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Finding the Third Proportional to 442,590 and 665,901

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Solution

The third proportional to 442,590 and 665,901 is: 1,001,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,590 : 665,901 = 665,901 : x
  2. Step 2: Convert to fraction form
    442,590/665,901 = 665,901/x
  3. Step 3: Cross multiply
    442,590x = 665,901 × 665,901
  4. Step 4: Simplify right side
    442,590x = 443,424,141,801
  5. Step 5: Solve for x
    x = 443,424,141,801/442,590
  6. Step 6: Final answer
    x = 1,001,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.