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Finding the Third Proportional to 4,952 and 9,418

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Solution

The third proportional to 4,952 and 9,418 is: 17,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952 : 9,418 = 9,418 : x
  2. Step 2: Convert to fraction form
    4,952/9,418 = 9,418/x
  3. Step 3: Cross multiply
    4,952x = 9,418 × 9,418
  4. Step 4: Simplify right side
    4,952x = 88,698,724
  5. Step 5: Solve for x
    x = 88,698,724/4,952
  6. Step 6: Final answer
    x = 17,911.70

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.