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Finding the Third Proportional to 4,470 and 9,429

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Solution

The third proportional to 4,470 and 9,429 is: 19,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 9,429 = 9,429 : x
  2. Step 2: Convert to fraction form
    4,470/9,429 = 9,429/x
  3. Step 3: Cross multiply
    4,470x = 9,429 × 9,429
  4. Step 4: Simplify right side
    4,470x = 88,906,041
  5. Step 5: Solve for x
    x = 88,906,041/4,470
  6. Step 6: Final answer
    x = 19,889.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.