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Finding the Third Proportional to 89,705 and 211,460

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Solution

The third proportional to 89,705 and 211,460 is: 498,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705 : 211,460 = 211,460 : x
  2. Step 2: Convert to fraction form
    89,705/211,460 = 211,460/x
  3. Step 3: Cross multiply
    89,705x = 211,460 × 211,460
  4. Step 4: Simplify right side
    89,705x = 44,715,331,600
  5. Step 5: Solve for x
    x = 44,715,331,600/89,705
  6. Step 6: Final answer
    x = 498,470.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.