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Finding the Third Proportional to 98,560 and 211,880

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Solution

The third proportional to 98,560 and 211,880 is: 455,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,560 : 211,880 = 211,880 : x
  2. Step 2: Convert to fraction form
    98,560/211,880 = 211,880/x
  3. Step 3: Cross multiply
    98,560x = 211,880 × 211,880
  4. Step 4: Simplify right side
    98,560x = 44,893,134,400
  5. Step 5: Solve for x
    x = 44,893,134,400/98,560
  6. Step 6: Final answer
    x = 455,490.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.