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Finding the Third Proportional to 65,842.50 and 145,921.50

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Solution

The third proportional to 65,842.50 and 145,921.50 is: 323,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.50 : 145,921.50 = 145,921.50 : x
  2. Step 2: Convert to fraction form
    65,842.50/145,921.50 = 145,921.50/x
  3. Step 3: Cross multiply
    65,842.50x = 145,921.50 × 145,921.50
  4. Step 4: Simplify right side
    65,842.50x = 21,293,084,162.25
  5. Step 5: Solve for x
    x = 21,293,084,162.25/65,842.50
  6. Step 6: Final answer
    x = 323,394.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.