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Finding the Third Proportional to 312,632,976 and 668,290,752

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Solution

The third proportional to 312,632,976 and 668,290,752 is: 1,428,552,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,632,976 : 668,290,752 = 668,290,752 : x
  2. Step 2: Convert to fraction form
    312,632,976/668,290,752 = 668,290,752/x
  3. Step 3: Cross multiply
    312,632,976x = 668,290,752 × 668,290,752
  4. Step 4: Simplify right side
    312,632,976x = 446,612,529,208,725,504
  5. Step 5: Solve for x
    x = 446,612,529,208,725,504/312,632,976
  6. Step 6: Final answer
    x = 1,428,552,211.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.