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Finding the Third Proportional to 361,379,692.75 and 487,586,049

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Solution

The third proportional to 361,379,692.75 and 487,586,049 is: 657,868,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,379,692.75 : 487,586,049 = 487,586,049 : x
  2. Step 2: Convert to fraction form
    361,379,692.75/487,586,049 = 487,586,049/x
  3. Step 3: Cross multiply
    361,379,692.75x = 487,586,049 × 487,586,049
  4. Step 4: Simplify right side
    361,379,692.75x = 237,740,155,179,430,400
  5. Step 5: Solve for x
    x = 237,740,155,179,430,400/361,379,692.75
  6. Step 6: Final answer
    x = 657,868,053.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.