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Finding the Third Proportional to 8,081,786 and 12,547,686

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Solution

The third proportional to 8,081,786 and 12,547,686 is: 19,481,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081,786 : 12,547,686 = 12,547,686 : x
  2. Step 2: Convert to fraction form
    8,081,786/12,547,686 = 12,547,686/x
  3. Step 3: Cross multiply
    8,081,786x = 12,547,686 × 12,547,686
  4. Step 4: Simplify right side
    8,081,786x = 157,444,423,954,596
  5. Step 5: Solve for x
    x = 157,444,423,954,596/8,081,786
  6. Step 6: Final answer
    x = 19,481,389.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.