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Finding the Third Proportional to 8,423,666 and 18,192,308

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Solution

The third proportional to 8,423,666 and 18,192,308 is: 39,289,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,666 : 18,192,308 = 18,192,308 : x
  2. Step 2: Convert to fraction form
    8,423,666/18,192,308 = 18,192,308/x
  3. Step 3: Cross multiply
    8,423,666x = 18,192,308 × 18,192,308
  4. Step 4: Simplify right side
    8,423,666x = 330,960,070,366,864
  5. Step 5: Solve for x
    x = 330,960,070,366,864/8,423,666
  6. Step 6: Final answer
    x = 39,289,315.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.