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Finding the Third Proportional to 280,859.06 and 456,298.31

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Solution

The third proportional to 280,859.06 and 456,298.31 is: 741,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,859.06 : 456,298.31 = 456,298.31 : x
  2. Step 2: Convert to fraction form
    280,859.06/456,298.31 = 456,298.31/x
  3. Step 3: Cross multiply
    280,859.06x = 456,298.31 × 456,298.31
  4. Step 4: Simplify right side
    280,859.06x = 208,208,149,990.35
  5. Step 5: Solve for x
    x = 208,208,149,990.35/280,859.06
  6. Step 6: Final answer
    x = 741,326.09

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.