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Finding the Third Proportional to 399,707,020 and 891,319,640

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Solution

The third proportional to 399,707,020 and 891,319,640 is: 1,987,582,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707,020 : 891,319,640 = 891,319,640 : x
  2. Step 2: Convert to fraction form
    399,707,020/891,319,640 = 891,319,640/x
  3. Step 3: Cross multiply
    399,707,020x = 891,319,640 × 891,319,640
  4. Step 4: Simplify right side
    399,707,020x = 794,450,700,649,729,536
  5. Step 5: Solve for x
    x = 794,450,700,649,729,536/399,707,020
  6. Step 6: Final answer
    x = 1,987,582,556.47

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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.