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Finding the Third Proportional to 7,825.36 and 11,931.68

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Solution

The third proportional to 7,825.36 and 11,931.68 is: 18,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.36 : 11,931.68 = 11,931.68 : x
  2. Step 2: Convert to fraction form
    7,825.36/11,931.68 = 11,931.68/x
  3. Step 3: Cross multiply
    7,825.36x = 11,931.68 × 11,931.68
  4. Step 4: Simplify right side
    7,825.36x = 142,364,980.17
  5. Step 5: Solve for x
    x = 142,364,980.17/7,825.36
  6. Step 6: Final answer
    x = 18,192.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.