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Finding the Third Proportional to 7,705.13 and 15,840.56

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Solution

The third proportional to 7,705.13 and 15,840.56 is: 32,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.13 : 15,840.56 = 15,840.56 : x
  2. Step 2: Convert to fraction form
    7,705.13/15,840.56 = 15,840.56/x
  3. Step 3: Cross multiply
    7,705.13x = 15,840.56 × 15,840.56
  4. Step 4: Simplify right side
    7,705.13x = 250,923,420.32
  5. Step 5: Solve for x
    x = 250,923,420.32/7,705.13
  6. Step 6: Final answer
    x = 32,565.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.