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Finding the Third Proportional to 211,807.50 and 412,972.50

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Solution

The third proportional to 211,807.50 and 412,972.50 is: 805,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807.50 : 412,972.50 = 412,972.50 : x
  2. Step 2: Convert to fraction form
    211,807.50/412,972.50 = 412,972.50/x
  3. Step 3: Cross multiply
    211,807.50x = 412,972.50 × 412,972.50
  4. Step 4: Simplify right side
    211,807.50x = 170,546,285,756.25
  5. Step 5: Solve for x
    x = 170,546,285,756.25/211,807.50
  6. Step 6: Final answer
    x = 805,194.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.