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Finding the Third Proportional to 8,258,136 and 17,781,816

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Solution

The third proportional to 8,258,136 and 17,781,816 is: 38,288,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258,136 : 17,781,816 = 17,781,816 : x
  2. Step 2: Convert to fraction form
    8,258,136/17,781,816 = 17,781,816/x
  3. Step 3: Cross multiply
    8,258,136x = 17,781,816 × 17,781,816
  4. Step 4: Simplify right side
    8,258,136x = 316,192,980,257,856
  5. Step 5: Solve for x
    x = 316,192,980,257,856/8,258,136
  6. Step 6: Final answer
    x = 38,288,662.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.