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Finding the Third Proportional to 171,520 and 455,271

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Solution

The third proportional to 171,520 and 455,271 is: 1,208,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,520 : 455,271 = 455,271 : x
  2. Step 2: Convert to fraction form
    171,520/455,271 = 455,271/x
  3. Step 3: Cross multiply
    171,520x = 455,271 × 455,271
  4. Step 4: Simplify right side
    171,520x = 207,271,683,441
  5. Step 5: Solve for x
    x = 207,271,683,441/171,520
  6. Step 6: Final answer
    x = 1,208,440.32

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.