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Finding the Third Proportional to 730,296,258 and 1,131,211,450

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Solution

The third proportional to 730,296,258 and 1,131,211,450 is: 1,752,219,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,296,258 : 1,131,211,450 = 1,131,211,450 : x
  2. Step 2: Convert to fraction form
    730,296,258/1,131,211,450 = 1,131,211,450/x
  3. Step 3: Cross multiply
    730,296,258x = 1,131,211,450 × 1,131,211,450
  4. Step 4: Simplify right side
    730,296,258x = 1,279,639,344,611,102,464
  5. Step 5: Solve for x
    x = 1,279,639,344,611,102,464/730,296,258
  6. Step 6: Final answer
    x = 1,752,219,500.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.