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Finding the Third Proportional to 218,625 and 478,128

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Solution

The third proportional to 218,625 and 478,128 is: 1,045,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,625 : 478,128 = 478,128 : x
  2. Step 2: Convert to fraction form
    218,625/478,128 = 478,128/x
  3. Step 3: Cross multiply
    218,625x = 478,128 × 478,128
  4. Step 4: Simplify right side
    218,625x = 228,606,384,384
  5. Step 5: Solve for x
    x = 228,606,384,384/218,625
  6. Step 6: Final answer
    x = 1,045,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.