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Finding the Third Proportional to 90,219.45 and 141,901.56

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Solution

The third proportional to 90,219.45 and 141,901.56 is: 223,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,219.45 : 141,901.56 = 141,901.56 : x
  2. Step 2: Convert to fraction form
    90,219.45/141,901.56 = 141,901.56/x
  3. Step 3: Cross multiply
    90,219.45x = 141,901.56 × 141,901.56
  4. Step 4: Simplify right side
    90,219.45x = 20,136,052,331.34
  5. Step 5: Solve for x
    x = 20,136,052,331.34/90,219.45
  6. Step 6: Final answer
    x = 223,189.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.