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Finding the Third Proportional to 101,308 and 219,788

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Solution

The third proportional to 101,308 and 219,788 is: 476,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,308 : 219,788 = 219,788 : x
  2. Step 2: Convert to fraction form
    101,308/219,788 = 219,788/x
  3. Step 3: Cross multiply
    101,308x = 219,788 × 219,788
  4. Step 4: Simplify right side
    101,308x = 48,306,764,944
  5. Step 5: Solve for x
    x = 48,306,764,944/101,308
  6. Step 6: Final answer
    x = 476,830.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.