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Finding the Third Proportional to 51,111 and 78,286.50

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Solution

The third proportional to 51,111 and 78,286.50 is: 119,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 78,286.50 = 78,286.50 : x
  2. Step 2: Convert to fraction form
    51,111/78,286.50 = 78,286.50/x
  3. Step 3: Cross multiply
    51,111x = 78,286.50 × 78,286.50
  4. Step 4: Simplify right side
    51,111x = 6,128,776,082.25
  5. Step 5: Solve for x
    x = 6,128,776,082.25/51,111
  6. Step 6: Final answer
    x = 119,911.10

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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.