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Finding the Third Proportional to 414,150,483 and 920,236,471.50

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Solution

The third proportional to 414,150,483 and 920,236,471.50 is: 2,044,752,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150,483 : 920,236,471.50 = 920,236,471.50 : x
  2. Step 2: Convert to fraction form
    414,150,483/920,236,471.50 = 920,236,471.50/x
  3. Step 3: Cross multiply
    414,150,483x = 920,236,471.50 × 920,236,471.50
  4. Step 4: Simplify right side
    414,150,483x = 846,835,163,478,770,304
  5. Step 5: Solve for x
    x = 846,835,163,478,770,304/414,150,483
  6. Step 6: Final answer
    x = 2,044,752,326.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.