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Finding the Third Proportional to 414,380,461 and 621,418,530

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Solution

The third proportional to 414,380,461 and 621,418,530 is: 931,899,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,380,461 : 621,418,530 = 621,418,530 : x
  2. Step 2: Convert to fraction form
    414,380,461/621,418,530 = 621,418,530/x
  3. Step 3: Cross multiply
    414,380,461x = 621,418,530 × 621,418,530
  4. Step 4: Simplify right side
    414,380,461x = 386,160,989,427,360,896
  5. Step 5: Solve for x
    x = 386,160,989,427,360,896/414,380,461
  6. Step 6: Final answer
    x = 931,899,608.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.