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Finding the Third Proportional to 149,812 and 320,947

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Solution

The third proportional to 149,812 and 320,947 is: 687,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812 : 320,947 = 320,947 : x
  2. Step 2: Convert to fraction form
    149,812/320,947 = 320,947/x
  3. Step 3: Cross multiply
    149,812x = 320,947 × 320,947
  4. Step 4: Simplify right side
    149,812x = 103,006,976,809
  5. Step 5: Solve for x
    x = 103,006,976,809/149,812
  6. Step 6: Final answer
    x = 687,574.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.