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Finding the Third Proportional to 438,018 and 941,520

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Solution

The third proportional to 438,018 and 941,520 is: 2,023,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,018 : 941,520 = 941,520 : x
  2. Step 2: Convert to fraction form
    438,018/941,520 = 941,520/x
  3. Step 3: Cross multiply
    438,018x = 941,520 × 941,520
  4. Step 4: Simplify right side
    438,018x = 886,459,910,400
  5. Step 5: Solve for x
    x = 886,459,910,400/438,018
  6. Step 6: Final answer
    x = 2,023,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.