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Finding the Third Proportional to 426,016 and 646,800

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Solution

The third proportional to 426,016 and 646,800 is: 982,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,016 : 646,800 = 646,800 : x
  2. Step 2: Convert to fraction form
    426,016/646,800 = 646,800/x
  3. Step 3: Cross multiply
    426,016x = 646,800 × 646,800
  4. Step 4: Simplify right side
    426,016x = 418,350,240,000
  5. Step 5: Solve for x
    x = 418,350,240,000/426,016
  6. Step 6: Final answer
    x = 982,005.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.