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Finding the Third Proportional to 291,648 and 449,908.88

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Solution

The third proportional to 291,648 and 449,908.88 is: 694,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 449,908.88 = 449,908.88 : x
  2. Step 2: Convert to fraction form
    291,648/449,908.88 = 449,908.88/x
  3. Step 3: Cross multiply
    291,648x = 449,908.88 × 449,908.88
  4. Step 4: Simplify right side
    291,648x = 202,417,995,803.77
  5. Step 5: Solve for x
    x = 202,417,995,803.77/291,648
  6. Step 6: Final answer
    x = 694,048.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.