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Finding the Third Proportional to 667,213,764.47 and 1,389,651,876

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Solution

The third proportional to 667,213,764.47 and 1,389,651,876 is: 2,894,323,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,213,764.47 : 1,389,651,876 = 1,389,651,876 : x
  2. Step 2: Convert to fraction form
    667,213,764.47/1,389,651,876 = 1,389,651,876/x
  3. Step 3: Cross multiply
    667,213,764.47x = 1,389,651,876 × 1,389,651,876
  4. Step 4: Simplify right side
    667,213,764.47x = 1,931,132,336,470,319,360
  5. Step 5: Solve for x
    x = 1,931,132,336,470,319,360/667,213,764.47
  6. Step 6: Final answer
    x = 2,894,323,287.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.