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Finding the Third Proportional to 171,140 and 256,710

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Solution

The third proportional to 171,140 and 256,710 is: 385,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,140 : 256,710 = 256,710 : x
  2. Step 2: Convert to fraction form
    171,140/256,710 = 256,710/x
  3. Step 3: Cross multiply
    171,140x = 256,710 × 256,710
  4. Step 4: Simplify right side
    171,140x = 65,900,024,100
  5. Step 5: Solve for x
    x = 65,900,024,100/171,140
  6. Step 6: Final answer
    x = 385,065

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.