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Finding the Third Proportional to 275,683,976 and 426,819,468

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Solution

The third proportional to 275,683,976 and 426,819,468 is: 660,810,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,683,976 : 426,819,468 = 426,819,468 : x
  2. Step 2: Convert to fraction form
    275,683,976/426,819,468 = 426,819,468/x
  3. Step 3: Cross multiply
    275,683,976x = 426,819,468 × 426,819,468
  4. Step 4: Simplify right side
    275,683,976x = 182,174,858,263,803,008
  5. Step 5: Solve for x
    x = 182,174,858,263,803,008/275,683,976
  6. Step 6: Final answer
    x = 660,810,471.86

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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.