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Finding the Third Proportional to 163,809 and 350,388.75

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Solution

The third proportional to 163,809 and 350,388.75 is: 749,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,809 : 350,388.75 = 350,388.75 : x
  2. Step 2: Convert to fraction form
    163,809/350,388.75 = 350,388.75/x
  3. Step 3: Cross multiply
    163,809x = 350,388.75 × 350,388.75
  4. Step 4: Simplify right side
    163,809x = 122,772,276,126.56
  5. Step 5: Solve for x
    x = 122,772,276,126.56/163,809
  6. Step 6: Final answer
    x = 749,484.31

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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.