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Finding the Third Proportional to 4,254 and 7,905

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Solution

The third proportional to 4,254 and 7,905 is: 14,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254 : 7,905 = 7,905 : x
  2. Step 2: Convert to fraction form
    4,254/7,905 = 7,905/x
  3. Step 3: Cross multiply
    4,254x = 7,905 × 7,905
  4. Step 4: Simplify right side
    4,254x = 62,489,025
  5. Step 5: Solve for x
    x = 62,489,025/4,254
  6. Step 6: Final answer
    x = 14,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.