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Finding the Third Proportional to 20,265.19 and 30,316.78

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Solution

The third proportional to 20,265.19 and 30,316.78 is: 45,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.19 : 30,316.78 = 30,316.78 : x
  2. Step 2: Convert to fraction form
    20,265.19/30,316.78 = 30,316.78/x
  3. Step 3: Cross multiply
    20,265.19x = 30,316.78 × 30,316.78
  4. Step 4: Simplify right side
    20,265.19x = 919,107,225.36
  5. Step 5: Solve for x
    x = 919,107,225.36/20,265.19
  6. Step 6: Final answer
    x = 45,354.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.