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Finding the Third Proportional to 96,400,100 and 146,858,982

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Solution

The third proportional to 96,400,100 and 146,858,982 is: 223,729,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400,100 : 146,858,982 = 146,858,982 : x
  2. Step 2: Convert to fraction form
    96,400,100/146,858,982 = 146,858,982/x
  3. Step 3: Cross multiply
    96,400,100x = 146,858,982 × 146,858,982
  4. Step 4: Simplify right side
    96,400,100x = 21,567,560,594,076,324
  5. Step 5: Solve for x
    x = 21,567,560,594,076,324/96,400,100
  6. Step 6: Final answer
    x = 223,729,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.