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Finding the Third Proportional to 102,890,224,344 and 222,877,619,856

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Solution

The third proportional to 102,890,224,344 and 222,877,619,856 is: 482,790,602,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890,224,344 : 222,877,619,856 = 222,877,619,856 : x
  2. Step 2: Convert to fraction form
    102,890,224,344/222,877,619,856 = 222,877,619,856/x
  3. Step 3: Cross multiply
    102,890,224,344x = 222,877,619,856 × 222,877,619,856
  4. Step 4: Simplify right side
    102,890,224,344x = 49,674,433,432,675,648,798,720
  5. Step 5: Solve for x
    x = 49,674,433,432,675,648,798,720/102,890,224,344
  6. Step 6: Final answer
    x = 482,790,602,794.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.