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Finding the Third Proportional to 70,339 and 149,903

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Solution

The third proportional to 70,339 and 149,903 is: 319,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,339 : 149,903 = 149,903 : x
  2. Step 2: Convert to fraction form
    70,339/149,903 = 149,903/x
  3. Step 3: Cross multiply
    70,339x = 149,903 × 149,903
  4. Step 4: Simplify right side
    70,339x = 22,470,909,409
  5. Step 5: Solve for x
    x = 22,470,909,409/70,339
  6. Step 6: Final answer
    x = 319,465.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.