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Finding the Third Proportional to 280,622,961 and 612,240,930

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Solution

The third proportional to 280,622,961 and 612,240,930 is: 1,335,738,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,622,961 : 612,240,930 = 612,240,930 : x
  2. Step 2: Convert to fraction form
    280,622,961/612,240,930 = 612,240,930/x
  3. Step 3: Cross multiply
    280,622,961x = 612,240,930 × 612,240,930
  4. Step 4: Simplify right side
    280,622,961x = 374,838,956,367,264,896
  5. Step 5: Solve for x
    x = 374,838,956,367,264,896/280,622,961
  6. Step 6: Final answer
    x = 1,335,738,725.84

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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.