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Finding the Third Proportional to 129,402 and 274,356

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Solution

The third proportional to 129,402 and 274,356 is: 581,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402 : 274,356 = 274,356 : x
  2. Step 2: Convert to fraction form
    129,402/274,356 = 274,356/x
  3. Step 3: Cross multiply
    129,402x = 274,356 × 274,356
  4. Step 4: Simplify right side
    129,402x = 75,271,214,736
  5. Step 5: Solve for x
    x = 75,271,214,736/129,402
  6. Step 6: Final answer
    x = 581,685.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.