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Finding the Third Proportional to 155,772 and 221,994

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Solution

The third proportional to 155,772 and 221,994 is: 316,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,772 : 221,994 = 221,994 : x
  2. Step 2: Convert to fraction form
    155,772/221,994 = 221,994/x
  3. Step 3: Cross multiply
    155,772x = 221,994 × 221,994
  4. Step 4: Simplify right side
    155,772x = 49,281,336,036
  5. Step 5: Solve for x
    x = 49,281,336,036/155,772
  6. Step 6: Final answer
    x = 316,368.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.