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Finding the Third Proportional to 4,509 and 7,195.50

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Solution

The third proportional to 4,509 and 7,195.50 is: 11,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509 : 7,195.50 = 7,195.50 : x
  2. Step 2: Convert to fraction form
    4,509/7,195.50 = 7,195.50/x
  3. Step 3: Cross multiply
    4,509x = 7,195.50 × 7,195.50
  4. Step 4: Simplify right side
    4,509x = 51,775,220.25
  5. Step 5: Solve for x
    x = 51,775,220.25/4,509
  6. Step 6: Final answer
    x = 11,482.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.