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Finding the Third Proportional to 30,776 and 66,259

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Solution

The third proportional to 30,776 and 66,259 is: 142,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776 : 66,259 = 66,259 : x
  2. Step 2: Convert to fraction form
    30,776/66,259 = 66,259/x
  3. Step 3: Cross multiply
    30,776x = 66,259 × 66,259
  4. Step 4: Simplify right side
    30,776x = 4,390,255,081
  5. Step 5: Solve for x
    x = 4,390,255,081/30,776
  6. Step 6: Final answer
    x = 142,651.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.