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Finding the Third Proportional to 155,711 and 221,899

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Solution

The third proportional to 155,711 and 221,899 is: 316,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,711 : 221,899 = 221,899 : x
  2. Step 2: Convert to fraction form
    155,711/221,899 = 221,899/x
  3. Step 3: Cross multiply
    155,711x = 221,899 × 221,899
  4. Step 4: Simplify right side
    155,711x = 49,239,166,201
  5. Step 5: Solve for x
    x = 49,239,166,201/155,711
  6. Step 6: Final answer
    x = 316,221.50

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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.