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Finding the Third Proportional to 308,630,768 and 477,458,760

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Solution

The third proportional to 308,630,768 and 477,458,760 is: 738,639,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,630,768 : 477,458,760 = 477,458,760 : x
  2. Step 2: Convert to fraction form
    308,630,768/477,458,760 = 477,458,760/x
  3. Step 3: Cross multiply
    308,630,768x = 477,458,760 × 477,458,760
  4. Step 4: Simplify right side
    308,630,768x = 227,966,867,500,737,600
  5. Step 5: Solve for x
    x = 227,966,867,500,737,600/308,630,768
  6. Step 6: Final answer
    x = 738,639,471.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.