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Finding the Third Proportional to 155,524 and 321,416

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Solution

The third proportional to 155,524 and 321,416 is: 664,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 321,416 = 321,416 : x
  2. Step 2: Convert to fraction form
    155,524/321,416 = 321,416/x
  3. Step 3: Cross multiply
    155,524x = 321,416 × 321,416
  4. Step 4: Simplify right side
    155,524x = 103,308,245,056
  5. Step 5: Solve for x
    x = 103,308,245,056/155,524
  6. Step 6: Final answer
    x = 664,259.18

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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.