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Finding the Third Proportional to 301,246 and 642,524

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Solution

The third proportional to 301,246 and 642,524 is: 1,370,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,246 : 642,524 = 642,524 : x
  2. Step 2: Convert to fraction form
    301,246/642,524 = 642,524/x
  3. Step 3: Cross multiply
    301,246x = 642,524 × 642,524
  4. Step 4: Simplify right side
    301,246x = 412,837,090,576
  5. Step 5: Solve for x
    x = 412,837,090,576/301,246
  6. Step 6: Final answer
    x = 1,370,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.