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Finding the Third Proportional to 220,537.69 and 478,411.31

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Solution

The third proportional to 220,537.69 and 478,411.31 is: 1,037,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,537.69 : 478,411.31 = 478,411.31 : x
  2. Step 2: Convert to fraction form
    220,537.69/478,411.31 = 478,411.31/x
  3. Step 3: Cross multiply
    220,537.69x = 478,411.31 × 478,411.31
  4. Step 4: Simplify right side
    220,537.69x = 228,877,383,927.97
  5. Step 5: Solve for x
    x = 228,877,383,927.97/220,537.69
  6. Step 6: Final answer
    x = 1,037,815.29

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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.