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Finding the Third Proportional to 6,157.69 and 7,798.78

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Solution

The third proportional to 6,157.69 and 7,798.78 is: 9,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.69 : 7,798.78 = 7,798.78 : x
  2. Step 2: Convert to fraction form
    6,157.69/7,798.78 = 7,798.78/x
  3. Step 3: Cross multiply
    6,157.69x = 7,798.78 × 7,798.78
  4. Step 4: Simplify right side
    6,157.69x = 60,820,988.99
  5. Step 5: Solve for x
    x = 60,820,988.99/6,157.69
  6. Step 6: Final answer
    x = 9,877.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.