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Finding the Third Proportional to 128,420 and 274,344

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Solution

The third proportional to 128,420 and 274,344 is: 586,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,420 : 274,344 = 274,344 : x
  2. Step 2: Convert to fraction form
    128,420/274,344 = 274,344/x
  3. Step 3: Cross multiply
    128,420x = 274,344 × 274,344
  4. Step 4: Simplify right side
    128,420x = 75,264,630,336
  5. Step 5: Solve for x
    x = 75,264,630,336/128,420
  6. Step 6: Final answer
    x = 586,081.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.