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Finding the Third Proportional to 196,181,784 and 420,530,508

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Solution

The third proportional to 196,181,784 and 420,530,508 is: 901,438,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,181,784 : 420,530,508 = 420,530,508 : x
  2. Step 2: Convert to fraction form
    196,181,784/420,530,508 = 420,530,508/x
  3. Step 3: Cross multiply
    196,181,784x = 420,530,508 × 420,530,508
  4. Step 4: Simplify right side
    196,181,784x = 176,845,908,158,738,048
  5. Step 5: Solve for x
    x = 176,845,908,158,738,048/196,181,784
  6. Step 6: Final answer
    x = 901,438,984.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.