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Finding the Third Proportional to 221,837 and 478,019

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Solution

The third proportional to 221,837 and 478,019 is: 1,030,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,837 : 478,019 = 478,019 : x
  2. Step 2: Convert to fraction form
    221,837/478,019 = 478,019/x
  3. Step 3: Cross multiply
    221,837x = 478,019 × 478,019
  4. Step 4: Simplify right side
    221,837x = 228,502,164,361
  5. Step 5: Solve for x
    x = 228,502,164,361/221,837
  6. Step 6: Final answer
    x = 1,030,045.32

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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.