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Finding the Third Proportional to 30,801.75 and 70,716.75

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Solution

The third proportional to 30,801.75 and 70,716.75 is: 162,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.75 : 70,716.75 = 70,716.75 : x
  2. Step 2: Convert to fraction form
    30,801.75/70,716.75 = 70,716.75/x
  3. Step 3: Cross multiply
    30,801.75x = 70,716.75 × 70,716.75
  4. Step 4: Simplify right side
    30,801.75x = 5,000,858,730.56
  5. Step 5: Solve for x
    x = 5,000,858,730.56/30,801.75
  6. Step 6: Final answer
    x = 162,356.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.