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Finding the Third Proportional to 51,245,323,074 and 110,353,737,348

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Solution

The third proportional to 51,245,323,074 and 110,353,737,348 is: 237,640,171,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,245,323,074 : 110,353,737,348 = 110,353,737,348 : x
  2. Step 2: Convert to fraction form
    51,245,323,074/110,353,737,348 = 110,353,737,348/x
  3. Step 3: Cross multiply
    51,245,323,074x = 110,353,737,348 × 110,353,737,348
  4. Step 4: Simplify right side
    51,245,323,074x = 12,177,947,346,671,369,191,424
  5. Step 5: Solve for x
    x = 12,177,947,346,671,369,191,424/51,245,323,074
  6. Step 6: Final answer
    x = 237,640,171,164.23

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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.