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Finding the Third Proportional to 321,428 and 613,684

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Solution

The third proportional to 321,428 and 613,684 is: 1,171,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,428 : 613,684 = 613,684 : x
  2. Step 2: Convert to fraction form
    321,428/613,684 = 613,684/x
  3. Step 3: Cross multiply
    321,428x = 613,684 × 613,684
  4. Step 4: Simplify right side
    321,428x = 376,608,051,856
  5. Step 5: Solve for x
    x = 376,608,051,856/321,428
  6. Step 6: Final answer
    x = 1,171,671.58

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.