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Finding the Third Proportional to 51,362 and 78,837

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Solution

The third proportional to 51,362 and 78,837 is: 121,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,362 : 78,837 = 78,837 : x
  2. Step 2: Convert to fraction form
    51,362/78,837 = 78,837/x
  3. Step 3: Cross multiply
    51,362x = 78,837 × 78,837
  4. Step 4: Simplify right side
    51,362x = 6,215,272,569
  5. Step 5: Solve for x
    x = 6,215,272,569/51,362
  6. Step 6: Final answer
    x = 121,009.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.