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Finding the Third Proportional to 8,140 and 15,307

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Solution

The third proportional to 8,140 and 15,307 is: 28,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 15,307 = 15,307 : x
  2. Step 2: Convert to fraction form
    8,140/15,307 = 15,307/x
  3. Step 3: Cross multiply
    8,140x = 15,307 × 15,307
  4. Step 4: Simplify right side
    8,140x = 234,304,249
  5. Step 5: Solve for x
    x = 234,304,249/8,140
  6. Step 6: Final answer
    x = 28,784.31

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.