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Finding the Third Proportional to 150,437 and 320,368

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Solution

The third proportional to 150,437 and 320,368 is: 682,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,437 : 320,368 = 320,368 : x
  2. Step 2: Convert to fraction form
    150,437/320,368 = 320,368/x
  3. Step 3: Cross multiply
    150,437x = 320,368 × 320,368
  4. Step 4: Simplify right side
    150,437x = 102,635,655,424
  5. Step 5: Solve for x
    x = 102,635,655,424/150,437
  6. Step 6: Final answer
    x = 682,250.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.