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Finding the Third Proportional to 3,890.32 and 8,335.35

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Solution

The third proportional to 3,890.32 and 8,335.35 is: 17,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.32 : 8,335.35 = 8,335.35 : x
  2. Step 2: Convert to fraction form
    3,890.32/8,335.35 = 8,335.35/x
  3. Step 3: Cross multiply
    3,890.32x = 8,335.35 × 8,335.35
  4. Step 4: Simplify right side
    3,890.32x = 69,478,118.23
  5. Step 5: Solve for x
    x = 69,478,118.23/3,890.32
  6. Step 6: Final answer
    x = 17,859.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.