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Finding the Third Proportional to 280,449 and 612,285.75

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Solution

The third proportional to 280,449 and 612,285.75 is: 1,336,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,449 : 612,285.75 = 612,285.75 : x
  2. Step 2: Convert to fraction form
    280,449/612,285.75 = 612,285.75/x
  3. Step 3: Cross multiply
    280,449x = 612,285.75 × 612,285.75
  4. Step 4: Simplify right side
    280,449x = 374,893,839,653.06
  5. Step 5: Solve for x
    x = 374,893,839,653.06/280,449
  6. Step 6: Final answer
    x = 1,336,762.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.