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Finding the Third Proportional to 171,418 and 372,319

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Solution

The third proportional to 171,418 and 372,319 is: 808,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,418 : 372,319 = 372,319 : x
  2. Step 2: Convert to fraction form
    171,418/372,319 = 372,319/x
  3. Step 3: Cross multiply
    171,418x = 372,319 × 372,319
  4. Step 4: Simplify right side
    171,418x = 138,621,437,761
  5. Step 5: Solve for x
    x = 138,621,437,761/171,418
  6. Step 6: Final answer
    x = 808,674.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.