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Finding the Third Proportional to 149,112 and 320,468

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Solution

The third proportional to 149,112 and 320,468 is: 688,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,112 : 320,468 = 320,468 : x
  2. Step 2: Convert to fraction form
    149,112/320,468 = 320,468/x
  3. Step 3: Cross multiply
    149,112x = 320,468 × 320,468
  4. Step 4: Simplify right side
    149,112x = 102,699,739,024
  5. Step 5: Solve for x
    x = 102,699,739,024/149,112
  6. Step 6: Final answer
    x = 688,742.28

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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.