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Finding the Third Proportional to 476,102,036 and 735,367,872

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Solution

The third proportional to 476,102,036 and 735,367,872 is: 1,135,819,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102,036 : 735,367,872 = 735,367,872 : x
  2. Step 2: Convert to fraction form
    476,102,036/735,367,872 = 735,367,872/x
  3. Step 3: Cross multiply
    476,102,036x = 735,367,872 × 735,367,872
  4. Step 4: Simplify right side
    476,102,036x = 540,765,907,169,808,384
  5. Step 5: Solve for x
    x = 540,765,907,169,808,384/476,102,036
  6. Step 6: Final answer
    x = 1,135,819,354.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.