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Finding the Third Proportional to 197,815,076 and 290,796,936

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Solution

The third proportional to 197,815,076 and 290,796,936 is: 427,484,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,815,076 : 290,796,936 = 290,796,936 : x
  2. Step 2: Convert to fraction form
    197,815,076/290,796,936 = 290,796,936/x
  3. Step 3: Cross multiply
    197,815,076x = 290,796,936 × 290,796,936
  4. Step 4: Simplify right side
    197,815,076x = 84,562,857,986,988,096
  5. Step 5: Solve for x
    x = 84,562,857,986,988,096/197,815,076
  6. Step 6: Final answer
    x = 427,484,394.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.