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Finding the Third Proportional to 219,320 and 455,872

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Solution

The third proportional to 219,320 and 455,872 is: 947,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,320 : 455,872 = 455,872 : x
  2. Step 2: Convert to fraction form
    219,320/455,872 = 455,872/x
  3. Step 3: Cross multiply
    219,320x = 455,872 × 455,872
  4. Step 4: Simplify right side
    219,320x = 207,819,280,384
  5. Step 5: Solve for x
    x = 207,819,280,384/219,320
  6. Step 6: Final answer
    x = 947,561.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.