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Finding the Third Proportional to 171,320 and 272,820

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Solution

The third proportional to 171,320 and 272,820 is: 434,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,320 : 272,820 = 272,820 : x
  2. Step 2: Convert to fraction form
    171,320/272,820 = 272,820/x
  3. Step 3: Cross multiply
    171,320x = 272,820 × 272,820
  4. Step 4: Simplify right side
    171,320x = 74,430,752,400
  5. Step 5: Solve for x
    x = 74,430,752,400/171,320
  6. Step 6: Final answer
    x = 434,454.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.