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Finding the Third Proportional to 4,587 and 10,818

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Solution

The third proportional to 4,587 and 10,818 is: 25,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 10,818 = 10,818 : x
  2. Step 2: Convert to fraction form
    4,587/10,818 = 10,818/x
  3. Step 3: Cross multiply
    4,587x = 10,818 × 10,818
  4. Step 4: Simplify right side
    4,587x = 117,029,124
  5. Step 5: Solve for x
    x = 117,029,124/4,587
  6. Step 6: Final answer
    x = 25,513.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.