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Finding the Third Proportional to 279,582,776.72 and 416,949,655.36

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Solution

The third proportional to 279,582,776.72 and 416,949,655.36 is: 621,808,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,582,776.72 : 416,949,655.36 = 416,949,655.36 : x
  2. Step 2: Convert to fraction form
    279,582,776.72/416,949,655.36 = 416,949,655.36/x
  3. Step 3: Cross multiply
    279,582,776.72x = 416,949,655.36 × 416,949,655.36
  4. Step 4: Simplify right side
    279,582,776.72x = 173,847,015,104,305,760
  5. Step 5: Solve for x
    x = 173,847,015,104,305,760/279,582,776.72
  6. Step 6: Final answer
    x = 621,808,743.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.