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Finding the Third Proportional to 5,406.75 and 9,209.32

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Solution

The third proportional to 5,406.75 and 9,209.32 is: 15,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 9,209.32 = 9,209.32 : x
  2. Step 2: Convert to fraction form
    5,406.75/9,209.32 = 9,209.32/x
  3. Step 3: Cross multiply
    5,406.75x = 9,209.32 × 9,209.32
  4. Step 4: Simplify right side
    5,406.75x = 84,811,580.62
  5. Step 5: Solve for x
    x = 84,811,580.62/5,406.75
  6. Step 6: Final answer
    x = 15,686.24

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.