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Finding the Third Proportional to 291,127 and 444,464.50

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Solution

The third proportional to 291,127 and 444,464.50 is: 678,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,127 : 444,464.50 = 444,464.50 : x
  2. Step 2: Convert to fraction form
    291,127/444,464.50 = 444,464.50/x
  3. Step 3: Cross multiply
    291,127x = 444,464.50 × 444,464.50
  4. Step 4: Simplify right side
    291,127x = 197,548,691,760.25
  5. Step 5: Solve for x
    x = 197,548,691,760.25/291,127
  6. Step 6: Final answer
    x = 678,565.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.