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Finding the Third Proportional to 149,642 and 320,023

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Solution

The third proportional to 149,642 and 320,023 is: 684,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642 : 320,023 = 320,023 : x
  2. Step 2: Convert to fraction form
    149,642/320,023 = 320,023/x
  3. Step 3: Cross multiply
    149,642x = 320,023 × 320,023
  4. Step 4: Simplify right side
    149,642x = 102,414,720,529
  5. Step 5: Solve for x
    x = 102,414,720,529/149,642
  6. Step 6: Final answer
    x = 684,398.23

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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.