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Finding the Third Proportional to 149,857 and 320,970

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Solution

The third proportional to 149,857 and 320,970 is: 687,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,857 : 320,970 = 320,970 : x
  2. Step 2: Convert to fraction form
    149,857/320,970 = 320,970/x
  3. Step 3: Cross multiply
    149,857x = 320,970 × 320,970
  4. Step 4: Simplify right side
    149,857x = 103,021,740,900
  5. Step 5: Solve for x
    x = 103,021,740,900/149,857
  6. Step 6: Final answer
    x = 687,466.99

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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.