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Finding the Third Proportional to 149,970 and 324,862

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Solution

The third proportional to 149,970 and 324,862 is: 703,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,970 : 324,862 = 324,862 : x
  2. Step 2: Convert to fraction form
    149,970/324,862 = 324,862/x
  3. Step 3: Cross multiply
    149,970x = 324,862 × 324,862
  4. Step 4: Simplify right side
    149,970x = 105,535,319,044
  5. Step 5: Solve for x
    x = 105,535,319,044/149,970
  6. Step 6: Final answer
    x = 703,709.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.