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Finding the Third Proportional to 399,707,028 and 891,319,656

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Solution

The third proportional to 399,707,028 and 891,319,656 is: 1,987,582,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707,028 : 891,319,656 = 891,319,656 : x
  2. Step 2: Convert to fraction form
    399,707,028/891,319,656 = 891,319,656/x
  3. Step 3: Cross multiply
    399,707,028x = 891,319,656 × 891,319,656
  4. Step 4: Simplify right side
    399,707,028x = 794,450,729,171,958,272
  5. Step 5: Solve for x
    x = 794,450,729,171,958,272/399,707,028
  6. Step 6: Final answer
    x = 1,987,582,588.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.