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Finding the Third Proportional to 197,815,065 and 290,796,920

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Solution

The third proportional to 197,815,065 and 290,796,920 is: 427,484,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,815,065 : 290,796,920 = 290,796,920 : x
  2. Step 2: Convert to fraction form
    197,815,065/290,796,920 = 290,796,920/x
  3. Step 3: Cross multiply
    197,815,065x = 290,796,920 × 290,796,920
  4. Step 4: Simplify right side
    197,815,065x = 84,562,848,681,486,400
  5. Step 5: Solve for x
    x = 84,562,848,681,486,400/197,815,065
  6. Step 6: Final answer
    x = 427,484,371.23

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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.