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Finding the Third Proportional to 4,972 and 10,430

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Solution

The third proportional to 4,972 and 10,430 is: 21,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 10,430 = 10,430 : x
  2. Step 2: Convert to fraction form
    4,972/10,430 = 10,430/x
  3. Step 3: Cross multiply
    4,972x = 10,430 × 10,430
  4. Step 4: Simplify right side
    4,972x = 108,784,900
  5. Step 5: Solve for x
    x = 108,784,900/4,972
  6. Step 6: Final answer
    x = 21,879.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.