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Finding the Third Proportional to 149,819 and 320,961

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Solution

The third proportional to 149,819 and 320,961 is: 687,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,819 : 320,961 = 320,961 : x
  2. Step 2: Convert to fraction form
    149,819/320,961 = 320,961/x
  3. Step 3: Cross multiply
    149,819x = 320,961 × 320,961
  4. Step 4: Simplify right side
    149,819x = 103,015,963,521
  5. Step 5: Solve for x
    x = 103,015,963,521/149,819
  6. Step 6: Final answer
    x = 687,602.80

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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.