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Finding the Third Proportional to 30,667.50 and 72,261

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Solution

The third proportional to 30,667.50 and 72,261 is: 170,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.50 : 72,261 = 72,261 : x
  2. Step 2: Convert to fraction form
    30,667.50/72,261 = 72,261/x
  3. Step 3: Cross multiply
    30,667.50x = 72,261 × 72,261
  4. Step 4: Simplify right side
    30,667.50x = 5,221,652,121
  5. Step 5: Solve for x
    x = 5,221,652,121/30,667.50
  6. Step 6: Final answer
    x = 170,266.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.