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Finding the Third Proportional to 221,678.25 and 459,121.50

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Solution

The third proportional to 221,678.25 and 459,121.50 is: 950,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678.25 : 459,121.50 = 459,121.50 : x
  2. Step 2: Convert to fraction form
    221,678.25/459,121.50 = 459,121.50/x
  3. Step 3: Cross multiply
    221,678.25x = 459,121.50 × 459,121.50
  4. Step 4: Simplify right side
    221,678.25x = 210,792,551,762.25
  5. Step 5: Solve for x
    x = 210,792,551,762.25/221,678.25
  6. Step 6: Final answer
    x = 950,894.15

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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.