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Finding the Third Proportional to 8,271,880 and 18,176,535

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Solution

The third proportional to 8,271,880 and 18,176,535 is: 39,940,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271,880 : 18,176,535 = 18,176,535 : x
  2. Step 2: Convert to fraction form
    8,271,880/18,176,535 = 18,176,535/x
  3. Step 3: Cross multiply
    8,271,880x = 18,176,535 × 18,176,535
  4. Step 4: Simplify right side
    8,271,880x = 330,386,424,606,225
  5. Step 5: Solve for x
    x = 330,386,424,606,225/8,271,880
  6. Step 6: Final answer
    x = 39,940,911.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.