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Finding the Third Proportional to 122,856.75 and 258,835.50

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Solution

The third proportional to 122,856.75 and 258,835.50 is: 545,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,856.75 : 258,835.50 = 258,835.50 : x
  2. Step 2: Convert to fraction form
    122,856.75/258,835.50 = 258,835.50/x
  3. Step 3: Cross multiply
    122,856.75x = 258,835.50 × 258,835.50
  4. Step 4: Simplify right side
    122,856.75x = 66,995,816,060.25
  5. Step 5: Solve for x
    x = 66,995,816,060.25/122,856.75
  6. Step 6: Final answer
    x = 545,316.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.