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Finding the Third Proportional to 79,527 and 171,509

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Solution

The third proportional to 79,527 and 171,509 is: 369,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,527 : 171,509 = 171,509 : x
  2. Step 2: Convert to fraction form
    79,527/171,509 = 171,509/x
  3. Step 3: Cross multiply
    79,527x = 171,509 × 171,509
  4. Step 4: Simplify right side
    79,527x = 29,415,337,081
  5. Step 5: Solve for x
    x = 29,415,337,081/79,527
  6. Step 6: Final answer
    x = 369,878.62

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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.