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Finding the Third Proportional to 8,879,970 and 13,284,311

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Solution

The third proportional to 8,879,970 and 13,284,311 is: 19,873,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,879,970 : 13,284,311 = 13,284,311 : x
  2. Step 2: Convert to fraction form
    8,879,970/13,284,311 = 13,284,311/x
  3. Step 3: Cross multiply
    8,879,970x = 13,284,311 × 13,284,311
  4. Step 4: Simplify right side
    8,879,970x = 176,472,918,744,721
  5. Step 5: Solve for x
    x = 176,472,918,744,721/8,879,970
  6. Step 6: Final answer
    x = 19,873,143.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.