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Finding the Third Proportional to 30,313.13 and 65,872.69

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Solution

The third proportional to 30,313.13 and 65,872.69 is: 143,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.13 : 65,872.69 = 65,872.69 : x
  2. Step 2: Convert to fraction form
    30,313.13/65,872.69 = 65,872.69/x
  3. Step 3: Cross multiply
    30,313.13x = 65,872.69 × 65,872.69
  4. Step 4: Simplify right side
    30,313.13x = 4,339,210,958.47
  5. Step 5: Solve for x
    x = 4,339,210,958.47/30,313.13
  6. Step 6: Final answer
    x = 143,146.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.