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Finding the Third Proportional to 103,776 and 228,288

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Solution

The third proportional to 103,776 and 228,288 is: 502,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,776 : 228,288 = 228,288 : x
  2. Step 2: Convert to fraction form
    103,776/228,288 = 228,288/x
  3. Step 3: Cross multiply
    103,776x = 228,288 × 228,288
  4. Step 4: Simplify right side
    103,776x = 52,115,410,944
  5. Step 5: Solve for x
    x = 52,115,410,944/103,776
  6. Step 6: Final answer
    x = 502,191.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.