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Finding the Third Proportional to 4,210 and 4,660

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Solution

The third proportional to 4,210 and 4,660 is: 5,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 4,660 = 4,660 : x
  2. Step 2: Convert to fraction form
    4,210/4,660 = 4,660/x
  3. Step 3: Cross multiply
    4,210x = 4,660 × 4,660
  4. Step 4: Simplify right side
    4,210x = 21,715,600
  5. Step 5: Solve for x
    x = 21,715,600/4,210
  6. Step 6: Final answer
    x = 5,158.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.