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Finding the Third Proportional to 6,155.68 and 8,710.98

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Solution

The third proportional to 6,155.68 and 8,710.98 is: 12,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.68 : 8,710.98 = 8,710.98 : x
  2. Step 2: Convert to fraction form
    6,155.68/8,710.98 = 8,710.98/x
  3. Step 3: Cross multiply
    6,155.68x = 8,710.98 × 8,710.98
  4. Step 4: Simplify right side
    6,155.68x = 75,881,180.73
  5. Step 5: Solve for x
    x = 75,881,180.73/6,155.68
  6. Step 6: Final answer
    x = 12,327.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.