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Finding the Third Proportional to 147,987 and 320,880

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Solution

The third proportional to 147,987 and 320,880 is: 695,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 320,880 = 320,880 : x
  2. Step 2: Convert to fraction form
    147,987/320,880 = 320,880/x
  3. Step 3: Cross multiply
    147,987x = 320,880 × 320,880
  4. Step 4: Simplify right side
    147,987x = 102,963,974,400
  5. Step 5: Solve for x
    x = 102,963,974,400/147,987
  6. Step 6: Final answer
    x = 695,763.64

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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.