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Finding the Third Proportional to 149,224 and 320,534

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Solution

The third proportional to 149,224 and 320,534 is: 688,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,224 : 320,534 = 320,534 : x
  2. Step 2: Convert to fraction form
    149,224/320,534 = 320,534/x
  3. Step 3: Cross multiply
    149,224x = 320,534 × 320,534
  4. Step 4: Simplify right side
    149,224x = 102,742,045,156
  5. Step 5: Solve for x
    x = 102,742,045,156/149,224
  6. Step 6: Final answer
    x = 688,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.