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Finding the Third Proportional to 217,714.50 and 478,347.75

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Solution

The third proportional to 217,714.50 and 478,347.75 is: 1,050,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,714.50 : 478,347.75 = 478,347.75 : x
  2. Step 2: Convert to fraction form
    217,714.50/478,347.75 = 478,347.75/x
  3. Step 3: Cross multiply
    217,714.50x = 478,347.75 × 478,347.75
  4. Step 4: Simplify right side
    217,714.50x = 228,816,569,930.06
  5. Step 5: Solve for x
    x = 228,816,569,930.06/217,714.50
  6. Step 6: Final answer
    x = 1,050,993.71

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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.