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Finding the Third Proportional to 210,169.69 and 455,680.69

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Solution

The third proportional to 210,169.69 and 455,680.69 is: 987,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,169.69 : 455,680.69 = 455,680.69 : x
  2. Step 2: Convert to fraction form
    210,169.69/455,680.69 = 455,680.69/x
  3. Step 3: Cross multiply
    210,169.69x = 455,680.69 × 455,680.69
  4. Step 4: Simplify right side
    210,169.69x = 207,644,888,960.47
  5. Step 5: Solve for x
    x = 207,644,888,960.47/210,169.69
  6. Step 6: Final answer
    x = 987,986.86

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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.