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Finding the Third Proportional to 219,069 and 319,982

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Solution

The third proportional to 219,069 and 319,982 is: 467,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,069 : 319,982 = 319,982 : x
  2. Step 2: Convert to fraction form
    219,069/319,982 = 319,982/x
  3. Step 3: Cross multiply
    219,069x = 319,982 × 319,982
  4. Step 4: Simplify right side
    219,069x = 102,388,480,324
  5. Step 5: Solve for x
    x = 102,388,480,324/219,069
  6. Step 6: Final answer
    x = 467,380.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.