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Finding the Third Proportional to 8,289,376 and 17,838,464

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Solution

The third proportional to 8,289,376 and 17,838,464 is: 38,387,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,376 : 17,838,464 = 17,838,464 : x
  2. Step 2: Convert to fraction form
    8,289,376/17,838,464 = 17,838,464/x
  3. Step 3: Cross multiply
    8,289,376x = 17,838,464 × 17,838,464
  4. Step 4: Simplify right side
    8,289,376x = 318,210,797,879,296
  5. Step 5: Solve for x
    x = 318,210,797,879,296/8,289,376
  6. Step 6: Final answer
    x = 38,387,786.71

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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.