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Finding the Third Proportional to 79,490 and 171,168

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Solution

The third proportional to 79,490 and 171,168 is: 368,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,490 : 171,168 = 171,168 : x
  2. Step 2: Convert to fraction form
    79,490/171,168 = 171,168/x
  3. Step 3: Cross multiply
    79,490x = 171,168 × 171,168
  4. Step 4: Simplify right side
    79,490x = 29,298,484,224
  5. Step 5: Solve for x
    x = 29,298,484,224/79,490
  6. Step 6: Final answer
    x = 368,580.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.