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Finding the Third Proportional to 217,118.81 and 478,411.31

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Solution

The third proportional to 217,118.81 and 478,411.31 is: 1,054,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,118.81 : 478,411.31 = 478,411.31 : x
  2. Step 2: Convert to fraction form
    217,118.81/478,411.31 = 478,411.31/x
  3. Step 3: Cross multiply
    217,118.81x = 478,411.31 × 478,411.31
  4. Step 4: Simplify right side
    217,118.81x = 228,877,383,927.97
  5. Step 5: Solve for x
    x = 228,877,383,927.97/217,118.81
  6. Step 6: Final answer
    x = 1,054,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.