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Finding the Third Proportional to 122,499 and 183,749.50

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Solution

The third proportional to 122,499 and 183,749.50 is: 275,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,499 : 183,749.50 = 183,749.50 : x
  2. Step 2: Convert to fraction form
    122,499/183,749.50 = 183,749.50/x
  3. Step 3: Cross multiply
    122,499x = 183,749.50 × 183,749.50
  4. Step 4: Simplify right side
    122,499x = 33,763,878,750.25
  5. Step 5: Solve for x
    x = 33,763,878,750.25/122,499
  6. Step 6: Final answer
    x = 275,625.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.