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Finding the Third Proportional to 149,584 and 320,480

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Solution

The third proportional to 149,584 and 320,480 is: 686,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,584 : 320,480 = 320,480 : x
  2. Step 2: Convert to fraction form
    149,584/320,480 = 320,480/x
  3. Step 3: Cross multiply
    149,584x = 320,480 × 320,480
  4. Step 4: Simplify right side
    149,584x = 102,707,430,400
  5. Step 5: Solve for x
    x = 102,707,430,400/149,584
  6. Step 6: Final answer
    x = 686,620.43

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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.