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Finding the Third Proportional to 144,749 and 318,947

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Solution

The third proportional to 144,749 and 318,947 is: 702,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,749 : 318,947 = 318,947 : x
  2. Step 2: Convert to fraction form
    144,749/318,947 = 318,947/x
  3. Step 3: Cross multiply
    144,749x = 318,947 × 318,947
  4. Step 4: Simplify right side
    144,749x = 101,727,188,809
  5. Step 5: Solve for x
    x = 101,727,188,809/144,749
  6. Step 6: Final answer
    x = 702,783.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.