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Finding the Third Proportional to 30,439.25 and 45,535

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Solution

The third proportional to 30,439.25 and 45,535 is: 68,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.25 : 45,535 = 45,535 : x
  2. Step 2: Convert to fraction form
    30,439.25/45,535 = 45,535/x
  3. Step 3: Cross multiply
    30,439.25x = 45,535 × 45,535
  4. Step 4: Simplify right side
    30,439.25x = 2,073,436,225
  5. Step 5: Solve for x
    x = 2,073,436,225/30,439.25
  6. Step 6: Final answer
    x = 68,117.19

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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.