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Finding the Third Proportional to 221,140 and 332,820

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Solution

The third proportional to 221,140 and 332,820 is: 500,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,140 : 332,820 = 332,820 : x
  2. Step 2: Convert to fraction form
    221,140/332,820 = 332,820/x
  3. Step 3: Cross multiply
    221,140x = 332,820 × 332,820
  4. Step 4: Simplify right side
    221,140x = 110,769,152,400
  5. Step 5: Solve for x
    x = 110,769,152,400/221,140
  6. Step 6: Final answer
    x = 500,900.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.