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Finding the Third Proportional to 290,286,766,631 and 403,620,545,563

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Solution

The third proportional to 290,286,766,631 and 403,620,545,563 is: 561,202,106,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,766,631 : 403,620,545,563 = 403,620,545,563 : x
  2. Step 2: Convert to fraction form
    290,286,766,631/403,620,545,563 = 403,620,545,563/x
  3. Step 3: Cross multiply
    290,286,766,631x = 403,620,545,563 × 403,620,545,563
  4. Step 4: Simplify right side
    290,286,766,631x = 162,909,544,800,573,764,665,344
  5. Step 5: Solve for x
    x = 162,909,544,800,573,764,665,344/290,286,766,631
  6. Step 6: Final answer
    x = 561,202,106,080.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.