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Finding the Third Proportional to 78,833 and 182,313.50

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Solution

The third proportional to 78,833 and 182,313.50 is: 421,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833 : 182,313.50 = 182,313.50 : x
  2. Step 2: Convert to fraction form
    78,833/182,313.50 = 182,313.50/x
  3. Step 3: Cross multiply
    78,833x = 182,313.50 × 182,313.50
  4. Step 4: Simplify right side
    78,833x = 33,238,212,282.25
  5. Step 5: Solve for x
    x = 33,238,212,282.25/78,833
  6. Step 6: Final answer
    x = 421,628.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.