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Finding the Third Proportional to 196,438,980 and 427,753,780

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Solution

The third proportional to 196,438,980 and 427,753,780 is: 931,451,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,980 : 427,753,780 = 427,753,780 : x
  2. Step 2: Convert to fraction form
    196,438,980/427,753,780 = 427,753,780/x
  3. Step 3: Cross multiply
    196,438,980x = 427,753,780 × 427,753,780
  4. Step 4: Simplify right side
    196,438,980x = 182,973,296,304,288,384
  5. Step 5: Solve for x
    x = 182,973,296,304,288,384/196,438,980
  6. Step 6: Final answer
    x = 931,451,060.80

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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.