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Finding the Third Proportional to 213,657.75 and 499,152.38

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Solution

The third proportional to 213,657.75 and 499,152.38 is: 1,166,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.75 : 499,152.38 = 499,152.38 : x
  2. Step 2: Convert to fraction form
    213,657.75/499,152.38 = 499,152.38/x
  3. Step 3: Cross multiply
    213,657.75x = 499,152.38 × 499,152.38
  4. Step 4: Simplify right side
    213,657.75x = 249,153,093,468.14
  5. Step 5: Solve for x
    x = 249,153,093,468.14/213,657.75
  6. Step 6: Final answer
    x = 1,166,131.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.