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Finding the Third Proportional to 110,770 and 237,288

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Solution

The third proportional to 110,770 and 237,288 is: 508,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770 : 237,288 = 237,288 : x
  2. Step 2: Convert to fraction form
    110,770/237,288 = 237,288/x
  3. Step 3: Cross multiply
    110,770x = 237,288 × 237,288
  4. Step 4: Simplify right side
    110,770x = 56,305,594,944
  5. Step 5: Solve for x
    x = 56,305,594,944/110,770
  6. Step 6: Final answer
    x = 508,310.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.