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Finding the Third Proportional to 247,144.50 and 369,866.25

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Solution

The third proportional to 247,144.50 and 369,866.25 is: 553,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,144.50 : 369,866.25 = 369,866.25 : x
  2. Step 2: Convert to fraction form
    247,144.50/369,866.25 = 369,866.25/x
  3. Step 3: Cross multiply
    247,144.50x = 369,866.25 × 369,866.25
  4. Step 4: Simplify right side
    247,144.50x = 136,801,042,889.06
  5. Step 5: Solve for x
    x = 136,801,042,889.06/247,144.50
  6. Step 6: Final answer
    x = 553,526.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.