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Finding the Third Proportional to 155,228 and 321,574

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Solution

The third proportional to 155,228 and 321,574 is: 666,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,228 : 321,574 = 321,574 : x
  2. Step 2: Convert to fraction form
    155,228/321,574 = 321,574/x
  3. Step 3: Cross multiply
    155,228x = 321,574 × 321,574
  4. Step 4: Simplify right side
    155,228x = 103,409,837,476
  5. Step 5: Solve for x
    x = 103,409,837,476/155,228
  6. Step 6: Final answer
    x = 666,180.31

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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.