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Finding the Third Proportional to 20,901 and 45,210.50

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Solution

The third proportional to 20,901 and 45,210.50 is: 97,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901 : 45,210.50 = 45,210.50 : x
  2. Step 2: Convert to fraction form
    20,901/45,210.50 = 45,210.50/x
  3. Step 3: Cross multiply
    20,901x = 45,210.50 × 45,210.50
  4. Step 4: Simplify right side
    20,901x = 2,043,989,310.25
  5. Step 5: Solve for x
    x = 2,043,989,310.25/20,901
  6. Step 6: Final answer
    x = 97,793.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.