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Finding the Third Proportional to 442,006 and 679,790

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Solution

The third proportional to 442,006 and 679,790 is: 1,045,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006 : 679,790 = 679,790 : x
  2. Step 2: Convert to fraction form
    442,006/679,790 = 679,790/x
  3. Step 3: Cross multiply
    442,006x = 679,790 × 679,790
  4. Step 4: Simplify right side
    442,006x = 462,114,444,100
  5. Step 5: Solve for x
    x = 462,114,444,100/442,006
  6. Step 6: Final answer
    x = 1,045,493.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.