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Finding the Third Proportional to 404,298.84 and 478,110.09

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Solution

The third proportional to 404,298.84 and 478,110.09 is: 565,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,298.84 : 478,110.09 = 478,110.09 : x
  2. Step 2: Convert to fraction form
    404,298.84/478,110.09 = 478,110.09/x
  3. Step 3: Cross multiply
    404,298.84x = 478,110.09 × 478,110.09
  4. Step 4: Simplify right side
    404,298.84x = 228,589,261,745.63
  5. Step 5: Solve for x
    x = 228,589,261,745.63/404,298.84
  6. Step 6: Final answer
    x = 565,396.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.