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Finding the Third Proportional to 311,031,063 and 668,220,138

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Solution

The third proportional to 311,031,063 and 668,220,138 is: 1,435,606,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,031,063 : 668,220,138 = 668,220,138 : x
  2. Step 2: Convert to fraction form
    311,031,063/668,220,138 = 668,220,138/x
  3. Step 3: Cross multiply
    311,031,063x = 668,220,138 × 668,220,138
  4. Step 4: Simplify right side
    311,031,063x = 446,518,152,828,739,072
  5. Step 5: Solve for x
    x = 446,518,152,828,739,072/311,031,063
  6. Step 6: Final answer
    x = 1,435,606,297.72

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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.