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Finding the Third Proportional to 275,683,972 and 426,819,462

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Solution

The third proportional to 275,683,972 and 426,819,462 is: 660,810,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,683,972 : 426,819,462 = 426,819,462 : x
  2. Step 2: Convert to fraction form
    275,683,972/426,819,462 = 426,819,462/x
  3. Step 3: Cross multiply
    275,683,972x = 426,819,462 × 426,819,462
  4. Step 4: Simplify right side
    275,683,972x = 182,174,853,141,969,440
  5. Step 5: Solve for x
    x = 182,174,853,141,969,440/275,683,972
  6. Step 6: Final answer
    x = 660,810,462.87

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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.