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Finding the Third Proportional to 20,742.75 and 30,655.13

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Solution

The third proportional to 20,742.75 and 30,655.13 is: 45,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 30,655.13 = 30,655.13 : x
  2. Step 2: Convert to fraction form
    20,742.75/30,655.13 = 30,655.13/x
  3. Step 3: Cross multiply
    20,742.75x = 30,655.13 × 30,655.13
  4. Step 4: Simplify right side
    20,742.75x = 939,736,688.77
  5. Step 5: Solve for x
    x = 939,736,688.77/20,742.75
  6. Step 6: Final answer
    x = 45,304.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.