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Finding the Third Proportional to 149,790 and 320,556

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Solution

The third proportional to 149,790 and 320,556 is: 686,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,790 : 320,556 = 320,556 : x
  2. Step 2: Convert to fraction form
    149,790/320,556 = 320,556/x
  3. Step 3: Cross multiply
    149,790x = 320,556 × 320,556
  4. Step 4: Simplify right side
    149,790x = 102,756,149,136
  5. Step 5: Solve for x
    x = 102,756,149,136/149,790
  6. Step 6: Final answer
    x = 686,001.40

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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.