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Finding the Third Proportional to 8,081,781 and 12,547,680

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Solution

The third proportional to 8,081,781 and 12,547,680 is: 19,481,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081,781 : 12,547,680 = 12,547,680 : x
  2. Step 2: Convert to fraction form
    8,081,781/12,547,680 = 12,547,680/x
  3. Step 3: Cross multiply
    8,081,781x = 12,547,680 × 12,547,680
  4. Step 4: Simplify right side
    8,081,781x = 157,444,273,382,400
  5. Step 5: Solve for x
    x = 157,444,273,382,400/8,081,781
  6. Step 6: Final answer
    x = 19,481,383.30

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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.