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Finding the Third Proportional to 50,209,240,072 and 109,244,019,748

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Solution

The third proportional to 50,209,240,072 and 109,244,019,748 is: 237,690,429,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,072 : 109,244,019,748 = 109,244,019,748 : x
  2. Step 2: Convert to fraction form
    50,209,240,072/109,244,019,748 = 109,244,019,748/x
  3. Step 3: Cross multiply
    50,209,240,072x = 109,244,019,748 × 109,244,019,748
  4. Step 4: Simplify right side
    50,209,240,072x = 11,934,255,850,701,413,416,960
  5. Step 5: Solve for x
    x = 11,934,255,850,701,413,416,960/50,209,240,072
  6. Step 6: Final answer
    x = 237,690,429,761.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.