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Finding the Third Proportional to 7,478 and 16,207

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Solution

The third proportional to 7,478 and 16,207 is: 35,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478 : 16,207 = 16,207 : x
  2. Step 2: Convert to fraction form
    7,478/16,207 = 16,207/x
  3. Step 3: Cross multiply
    7,478x = 16,207 × 16,207
  4. Step 4: Simplify right side
    7,478x = 262,666,849
  5. Step 5: Solve for x
    x = 262,666,849/7,478
  6. Step 6: Final answer
    x = 35,125.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.