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Finding the Third Proportional to 147,929 and 324,015

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Solution

The third proportional to 147,929 and 324,015 is: 709,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,929 : 324,015 = 324,015 : x
  2. Step 2: Convert to fraction form
    147,929/324,015 = 324,015/x
  3. Step 3: Cross multiply
    147,929x = 324,015 × 324,015
  4. Step 4: Simplify right side
    147,929x = 104,985,720,225
  5. Step 5: Solve for x
    x = 104,985,720,225/147,929
  6. Step 6: Final answer
    x = 709,703.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.