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Finding the Third Proportional to 213,661.50 and 499,159.50

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Solution

The third proportional to 213,661.50 and 499,159.50 is: 1,166,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,661.50 : 499,159.50 = 499,159.50 : x
  2. Step 2: Convert to fraction form
    213,661.50/499,159.50 = 499,159.50/x
  3. Step 3: Cross multiply
    213,661.50x = 499,159.50 × 499,159.50
  4. Step 4: Simplify right side
    213,661.50x = 249,160,206,440.25
  5. Step 5: Solve for x
    x = 249,160,206,440.25/213,661.50
  6. Step 6: Final answer
    x = 1,166,144.61

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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.