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Finding the Third Proportional to 20,090.53 and 30,318.05

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Solution

The third proportional to 20,090.53 and 30,318.05 is: 45,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.53 : 30,318.05 = 30,318.05 : x
  2. Step 2: Convert to fraction form
    20,090.53/30,318.05 = 30,318.05/x
  3. Step 3: Cross multiply
    20,090.53x = 30,318.05 × 30,318.05
  4. Step 4: Simplify right side
    20,090.53x = 919,183,966.31
  5. Step 5: Solve for x
    x = 919,183,966.31/20,090.53
  6. Step 6: Final answer
    x = 45,752.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.