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Finding the Third Proportional to 272,815.50 and 412,996.50

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Solution

The third proportional to 272,815.50 and 412,996.50 is: 625,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,815.50 : 412,996.50 = 412,996.50 : x
  2. Step 2: Convert to fraction form
    272,815.50/412,996.50 = 412,996.50/x
  3. Step 3: Cross multiply
    272,815.50x = 412,996.50 × 412,996.50
  4. Step 4: Simplify right side
    272,815.50x = 170,566,109,012.25
  5. Step 5: Solve for x
    x = 170,566,109,012.25/272,815.50
  6. Step 6: Final answer
    x = 625,206.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.