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Finding the Third Proportional to 221,688 and 459,140

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Solution

The third proportional to 221,688 and 459,140 is: 950,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688 : 459,140 = 459,140 : x
  2. Step 2: Convert to fraction form
    221,688/459,140 = 459,140/x
  3. Step 3: Cross multiply
    221,688x = 459,140 × 459,140
  4. Step 4: Simplify right side
    221,688x = 210,809,539,600
  5. Step 5: Solve for x
    x = 210,809,539,600/221,688
  6. Step 6: Final answer
    x = 950,928.96

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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.