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Finding the Third Proportional to 51,381 and 121,837.50

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Solution

The third proportional to 51,381 and 121,837.50 is: 288,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381 : 121,837.50 = 121,837.50 : x
  2. Step 2: Convert to fraction form
    51,381/121,837.50 = 121,837.50/x
  3. Step 3: Cross multiply
    51,381x = 121,837.50 × 121,837.50
  4. Step 4: Simplify right side
    51,381x = 14,844,376,406.25
  5. Step 5: Solve for x
    x = 14,844,376,406.25/51,381
  6. Step 6: Final answer
    x = 288,907.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.