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Finding the Third Proportional to 9,366.75 and 20,812.50

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Solution

The third proportional to 9,366.75 and 20,812.50 is: 46,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.75 : 20,812.50 = 20,812.50 : x
  2. Step 2: Convert to fraction form
    9,366.75/20,812.50 = 20,812.50/x
  3. Step 3: Cross multiply
    9,366.75x = 20,812.50 × 20,812.50
  4. Step 4: Simplify right side
    9,366.75x = 433,160,156.25
  5. Step 5: Solve for x
    x = 433,160,156.25/9,366.75
  6. Step 6: Final answer
    x = 46,244.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.