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Finding the Third Proportional to 51,689,380 and 80,026,512

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Solution

The third proportional to 51,689,380 and 80,026,512 is: 123,898,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689,380 : 80,026,512 = 80,026,512 : x
  2. Step 2: Convert to fraction form
    51,689,380/80,026,512 = 80,026,512/x
  3. Step 3: Cross multiply
    51,689,380x = 80,026,512 × 80,026,512
  4. Step 4: Simplify right side
    51,689,380x = 6,404,242,622,886,144
  5. Step 5: Solve for x
    x = 6,404,242,622,886,144/51,689,380
  6. Step 6: Final answer
    x = 123,898,615.59

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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.