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Finding the Third Proportional to 219,434 and 320,835

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Solution

The third proportional to 219,434 and 320,835 is: 469,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,434 : 320,835 = 320,835 : x
  2. Step 2: Convert to fraction form
    219,434/320,835 = 320,835/x
  3. Step 3: Cross multiply
    219,434x = 320,835 × 320,835
  4. Step 4: Simplify right side
    219,434x = 102,935,097,225
  5. Step 5: Solve for x
    x = 102,935,097,225/219,434
  6. Step 6: Final answer
    x = 469,093.66

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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.