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Finding the Third Proportional to 147,189 and 320,946

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Solution

The third proportional to 147,189 and 320,946 is: 699,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189 : 320,946 = 320,946 : x
  2. Step 2: Convert to fraction form
    147,189/320,946 = 320,946/x
  3. Step 3: Cross multiply
    147,189x = 320,946 × 320,946
  4. Step 4: Simplify right side
    147,189x = 103,006,334,916
  5. Step 5: Solve for x
    x = 103,006,334,916/147,189
  6. Step 6: Final answer
    x = 699,823.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.