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Finding the Third Proportional to 311,031,069 and 668,220,150

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Solution

The third proportional to 311,031,069 and 668,220,150 is: 1,435,606,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,031,069 : 668,220,150 = 668,220,150 : x
  2. Step 2: Convert to fraction form
    311,031,069/668,220,150 = 668,220,150/x
  3. Step 3: Cross multiply
    311,031,069x = 668,220,150 × 668,220,150
  4. Step 4: Simplify right side
    311,031,069x = 446,518,168,866,022,528
  5. Step 5: Solve for x
    x = 446,518,168,866,022,528/311,031,069
  6. Step 6: Final answer
    x = 1,435,606,321.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.