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Finding the Third Proportional to 280,029 and 440,454.75

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Solution

The third proportional to 280,029 and 440,454.75 is: 692,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,029 : 440,454.75 = 440,454.75 : x
  2. Step 2: Convert to fraction form
    280,029/440,454.75 = 440,454.75/x
  3. Step 3: Cross multiply
    280,029x = 440,454.75 × 440,454.75
  4. Step 4: Simplify right side
    280,029x = 194,000,386,797.56
  5. Step 5: Solve for x
    x = 194,000,386,797.56/280,029
  6. Step 6: Final answer
    x = 692,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.