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Finding the Third Proportional to 69,363 and 150,309

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Solution

The third proportional to 69,363 and 150,309 is: 325,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,363 : 150,309 = 150,309 : x
  2. Step 2: Convert to fraction form
    69,363/150,309 = 150,309/x
  3. Step 3: Cross multiply
    69,363x = 150,309 × 150,309
  4. Step 4: Simplify right side
    69,363x = 22,592,795,481
  5. Step 5: Solve for x
    x = 22,592,795,481/69,363
  6. Step 6: Final answer
    x = 325,718.26

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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.