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Finding the Third Proportional to 5,155.88 and 9,952.88

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Solution

The third proportional to 5,155.88 and 9,952.88 is: 19,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.88 : 9,952.88 = 9,952.88 : x
  2. Step 2: Convert to fraction form
    5,155.88/9,952.88 = 9,952.88/x
  3. Step 3: Cross multiply
    5,155.88x = 9,952.88 × 9,952.88
  4. Step 4: Simplify right side
    5,155.88x = 99,059,720.77
  5. Step 5: Solve for x
    x = 99,059,720.77/5,155.88
  6. Step 6: Final answer
    x = 19,212.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.