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Finding the Third Proportional to 78,624 and 104,750.25

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Solution

The third proportional to 78,624 and 104,750.25 is: 139,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 104,750.25 = 104,750.25 : x
  2. Step 2: Convert to fraction form
    78,624/104,750.25 = 104,750.25/x
  3. Step 3: Cross multiply
    78,624x = 104,750.25 × 104,750.25
  4. Step 4: Simplify right side
    78,624x = 10,972,614,875.06
  5. Step 5: Solve for x
    x = 10,972,614,875.06/78,624
  6. Step 6: Final answer
    x = 139,558.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.