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Finding the Third Proportional to 72,488 and 149,947

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Solution

The third proportional to 72,488 and 149,947 is: 310,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,488 : 149,947 = 149,947 : x
  2. Step 2: Convert to fraction form
    72,488/149,947 = 149,947/x
  3. Step 3: Cross multiply
    72,488x = 149,947 × 149,947
  4. Step 4: Simplify right side
    72,488x = 22,484,102,809
  5. Step 5: Solve for x
    x = 22,484,102,809/72,488
  6. Step 6: Final answer
    x = 310,176.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.