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Finding the Third Proportional to 149,770 and 320,600

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Solution

The third proportional to 149,770 and 320,600 is: 686,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,770 : 320,600 = 320,600 : x
  2. Step 2: Convert to fraction form
    149,770/320,600 = 320,600/x
  3. Step 3: Cross multiply
    149,770x = 320,600 × 320,600
  4. Step 4: Simplify right side
    149,770x = 102,784,360,000
  5. Step 5: Solve for x
    x = 102,784,360,000/149,770
  6. Step 6: Final answer
    x = 686,281.36

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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.