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Finding the Third Proportional to 8,364,147 and 12,786,623

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Solution

The third proportional to 8,364,147 and 12,786,623 is: 19,547,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364,147 : 12,786,623 = 12,786,623 : x
  2. Step 2: Convert to fraction form
    8,364,147/12,786,623 = 12,786,623/x
  3. Step 3: Cross multiply
    8,364,147x = 12,786,623 × 12,786,623
  4. Step 4: Simplify right side
    8,364,147x = 163,497,727,744,129
  5. Step 5: Solve for x
    x = 163,497,727,744,129/8,364,147
  6. Step 6: Final answer
    x = 19,547,447.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.