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Finding the Third Proportional to 442,703 and 938,608

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Solution

The third proportional to 442,703 and 938,608 is: 1,990,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,703 : 938,608 = 938,608 : x
  2. Step 2: Convert to fraction form
    442,703/938,608 = 938,608/x
  3. Step 3: Cross multiply
    442,703x = 938,608 × 938,608
  4. Step 4: Simplify right side
    442,703x = 880,984,977,664
  5. Step 5: Solve for x
    x = 880,984,977,664/442,703
  6. Step 6: Final answer
    x = 1,990,013.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.