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Finding the Third Proportional to 8,289,216.84 and 17,838,145.69

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Solution

The third proportional to 8,289,216.84 and 17,838,145.69 is: 38,387,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,216.84 : 17,838,145.69 = 17,838,145.69 : x
  2. Step 2: Convert to fraction form
    8,289,216.84/17,838,145.69 = 17,838,145.69/x
  3. Step 3: Cross multiply
    8,289,216.84x = 17,838,145.69 × 17,838,145.69
  4. Step 4: Simplify right side
    8,289,216.84x = 318,199,441,568,474.88
  5. Step 5: Solve for x
    x = 318,199,441,568,474.88/8,289,216.84
  6. Step 6: Final answer
    x = 38,387,153.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.