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Finding the Third Proportional to 7,706 and 18,140

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Solution

The third proportional to 7,706 and 18,140 is: 42,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 18,140 = 18,140 : x
  2. Step 2: Convert to fraction form
    7,706/18,140 = 18,140/x
  3. Step 3: Cross multiply
    7,706x = 18,140 × 18,140
  4. Step 4: Simplify right side
    7,706x = 329,059,600
  5. Step 5: Solve for x
    x = 329,059,600/7,706
  6. Step 6: Final answer
    x = 42,701.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.