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Finding the Third Proportional to 75,333 and 155,566.50

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Solution

The third proportional to 75,333 and 155,566.50 is: 321,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 155,566.50 = 155,566.50 : x
  2. Step 2: Convert to fraction form
    75,333/155,566.50 = 155,566.50/x
  3. Step 3: Cross multiply
    75,333x = 155,566.50 × 155,566.50
  4. Step 4: Simplify right side
    75,333x = 24,200,935,922.25
  5. Step 5: Solve for x
    x = 24,200,935,922.25/75,333
  6. Step 6: Final answer
    x = 321,252.78

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1.5x scale

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.