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Finding the Third Proportional to 114,190,680 and 162,782,962

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Solution

The third proportional to 114,190,680 and 162,782,962 is: 232,053,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190,680 : 162,782,962 = 162,782,962 : x
  2. Step 2: Convert to fraction form
    114,190,680/162,782,962 = 162,782,962/x
  3. Step 3: Cross multiply
    114,190,680x = 162,782,962 × 162,782,962
  4. Step 4: Simplify right side
    114,190,680x = 26,498,292,717,493,444
  5. Step 5: Solve for x
    x = 26,498,292,717,493,444/114,190,680
  6. Step 6: Final answer
    x = 232,053,024.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.