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Finding the Third Proportional to 8,703.88 and 17,868.63

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Solution

The third proportional to 8,703.88 and 17,868.63 is: 36,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.88 : 17,868.63 = 17,868.63 : x
  2. Step 2: Convert to fraction form
    8,703.88/17,868.63 = 17,868.63/x
  3. Step 3: Cross multiply
    8,703.88x = 17,868.63 × 17,868.63
  4. Step 4: Simplify right side
    8,703.88x = 319,287,759.39
  5. Step 5: Solve for x
    x = 319,287,759.39/8,703.88
  6. Step 6: Final answer
    x = 36,683.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.