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Finding the Third Proportional to 417,240 and 854,312

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Solution

The third proportional to 417,240 and 854,312 is: 1,749,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,240 : 854,312 = 854,312 : x
  2. Step 2: Convert to fraction form
    417,240/854,312 = 854,312/x
  3. Step 3: Cross multiply
    417,240x = 854,312 × 854,312
  4. Step 4: Simplify right side
    417,240x = 729,848,993,344
  5. Step 5: Solve for x
    x = 729,848,993,344/417,240
  6. Step 6: Final answer
    x = 1,749,230.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.