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Finding the Third Proportional to 446,108,520 and 966,330,100

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Solution

The third proportional to 446,108,520 and 966,330,100 is: 2,093,198,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,108,520 : 966,330,100 = 966,330,100 : x
  2. Step 2: Convert to fraction form
    446,108,520/966,330,100 = 966,330,100/x
  3. Step 3: Cross multiply
    446,108,520x = 966,330,100 × 966,330,100
  4. Step 4: Simplify right side
    446,108,520x = 933,793,862,166,009,984
  5. Step 5: Solve for x
    x = 933,793,862,166,009,984/446,108,520
  6. Step 6: Final answer
    x = 2,093,198,897.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.