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Finding the Third Proportional to 30,921.75 and 45,699.19

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Solution

The third proportional to 30,921.75 and 45,699.19 is: 67,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.75 : 45,699.19 = 45,699.19 : x
  2. Step 2: Convert to fraction form
    30,921.75/45,699.19 = 45,699.19/x
  3. Step 3: Cross multiply
    30,921.75x = 45,699.19 × 45,699.19
  4. Step 4: Simplify right side
    30,921.75x = 2,088,415,738.16
  5. Step 5: Solve for x
    x = 2,088,415,738.16/30,921.75
  6. Step 6: Final answer
    x = 67,538.73

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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.