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Finding the Third Proportional to 7,463 and 10,917.50

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Solution

The third proportional to 7,463 and 10,917.50 is: 15,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463 : 10,917.50 = 10,917.50 : x
  2. Step 2: Convert to fraction form
    7,463/10,917.50 = 10,917.50/x
  3. Step 3: Cross multiply
    7,463x = 10,917.50 × 10,917.50
  4. Step 4: Simplify right side
    7,463x = 119,191,806.25
  5. Step 5: Solve for x
    x = 119,191,806.25/7,463
  6. Step 6: Final answer
    x = 15,971.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.