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Finding the Third Proportional to 30,972 and 66,316

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Solution

The third proportional to 30,972 and 66,316 is: 141,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972 : 66,316 = 66,316 : x
  2. Step 2: Convert to fraction form
    30,972/66,316 = 66,316/x
  3. Step 3: Cross multiply
    30,972x = 66,316 × 66,316
  4. Step 4: Simplify right side
    30,972x = 4,397,811,856
  5. Step 5: Solve for x
    x = 4,397,811,856/30,972
  6. Step 6: Final answer
    x = 141,993.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.