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Finding the Third Proportional to 6,378.75 and 10,139.63

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Solution

The third proportional to 6,378.75 and 10,139.63 is: 16,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 10,139.63 = 10,139.63 : x
  2. Step 2: Convert to fraction form
    6,378.75/10,139.63 = 10,139.63/x
  3. Step 3: Cross multiply
    6,378.75x = 10,139.63 × 10,139.63
  4. Step 4: Simplify right side
    6,378.75x = 102,811,995.14
  5. Step 5: Solve for x
    x = 102,811,995.14/6,378.75
  6. Step 6: Final answer
    x = 16,117.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.