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Finding the Third Proportional to 7,009 and 10,513.50

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Solution

The third proportional to 7,009 and 10,513.50 is: 15,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 10,513.50 = 10,513.50 : x
  2. Step 2: Convert to fraction form
    7,009/10,513.50 = 10,513.50/x
  3. Step 3: Cross multiply
    7,009x = 10,513.50 × 10,513.50
  4. Step 4: Simplify right side
    7,009x = 110,533,682.25
  5. Step 5: Solve for x
    x = 110,533,682.25/7,009
  6. Step 6: Final answer
    x = 15,770.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.