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Finding the Third Proportional to 79,521 and 171,497

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Solution

The third proportional to 79,521 and 171,497 is: 369,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,521 : 171,497 = 171,497 : x
  2. Step 2: Convert to fraction form
    79,521/171,497 = 171,497/x
  3. Step 3: Cross multiply
    79,521x = 171,497 × 171,497
  4. Step 4: Simplify right side
    79,521x = 29,411,221,009
  5. Step 5: Solve for x
    x = 29,411,221,009/79,521
  6. Step 6: Final answer
    x = 369,854.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.