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Finding the Third Proportional to 9,901.13 and 20,503.50

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Solution

The third proportional to 9,901.13 and 20,503.50 is: 42,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.13 : 20,503.50 = 20,503.50 : x
  2. Step 2: Convert to fraction form
    9,901.13/20,503.50 = 20,503.50/x
  3. Step 3: Cross multiply
    9,901.13x = 20,503.50 × 20,503.50
  4. Step 4: Simplify right side
    9,901.13x = 420,393,512.25
  5. Step 5: Solve for x
    x = 420,393,512.25/9,901.13
  6. Step 6: Final answer
    x = 42,459.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.