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Finding the Third Proportional to 7,970 and 17,419

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Solution

The third proportional to 7,970 and 17,419 is: 38,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 17,419 = 17,419 : x
  2. Step 2: Convert to fraction form
    7,970/17,419 = 17,419/x
  3. Step 3: Cross multiply
    7,970x = 17,419 × 17,419
  4. Step 4: Simplify right side
    7,970x = 303,421,561
  5. Step 5: Solve for x
    x = 303,421,561/7,970
  6. Step 6: Final answer
    x = 38,070.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.