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Finding the Third Proportional to 221,416.50 and 458,590.50

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Solution

The third proportional to 221,416.50 and 458,590.50 is: 949,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,416.50 : 458,590.50 = 458,590.50 : x
  2. Step 2: Convert to fraction form
    221,416.50/458,590.50 = 458,590.50/x
  3. Step 3: Cross multiply
    221,416.50x = 458,590.50 × 458,590.50
  4. Step 4: Simplify right side
    221,416.50x = 210,305,246,690.25
  5. Step 5: Solve for x
    x = 210,305,246,690.25/221,416.50
  6. Step 6: Final answer
    x = 949,817.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.