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Finding the Third Proportional to 20,392 and 45,151.25

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Solution

The third proportional to 20,392 and 45,151.25 is: 99,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392 : 45,151.25 = 45,151.25 : x
  2. Step 2: Convert to fraction form
    20,392/45,151.25 = 45,151.25/x
  3. Step 3: Cross multiply
    20,392x = 45,151.25 × 45,151.25
  4. Step 4: Simplify right side
    20,392x = 2,038,635,376.56
  5. Step 5: Solve for x
    x = 2,038,635,376.56/20,392
  6. Step 6: Final answer
    x = 99,972.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.