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Finding the Third Proportional to 219,215 and 328,853

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Solution

The third proportional to 219,215 and 328,853 is: 493,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,215 : 328,853 = 328,853 : x
  2. Step 2: Convert to fraction form
    219,215/328,853 = 328,853/x
  3. Step 3: Cross multiply
    219,215x = 328,853 × 328,853
  4. Step 4: Simplify right side
    219,215x = 108,144,295,609
  5. Step 5: Solve for x
    x = 108,144,295,609/219,215
  6. Step 6: Final answer
    x = 493,325.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.