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Finding the Third Proportional to 442,003 and 679,785

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Solution

The third proportional to 442,003 and 679,785 is: 1,045,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,003 : 679,785 = 679,785 : x
  2. Step 2: Convert to fraction form
    442,003/679,785 = 679,785/x
  3. Step 3: Cross multiply
    442,003x = 679,785 × 679,785
  4. Step 4: Simplify right side
    442,003x = 462,107,646,225
  5. Step 5: Solve for x
    x = 462,107,646,225/442,003
  6. Step 6: Final answer
    x = 1,045,485.32

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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.