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Finding the Third Proportional to 7,509 and 9,907.50

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Solution

The third proportional to 7,509 and 9,907.50 is: 13,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 9,907.50 = 9,907.50 : x
  2. Step 2: Convert to fraction form
    7,509/9,907.50 = 9,907.50/x
  3. Step 3: Cross multiply
    7,509x = 9,907.50 × 9,907.50
  4. Step 4: Simplify right side
    7,509x = 98,158,556.25
  5. Step 5: Solve for x
    x = 98,158,556.25/7,509
  6. Step 6: Final answer
    x = 13,072.12

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.