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Finding the Third Proportional to 378,309 and 830,328

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Solution

The third proportional to 378,309 and 830,328 is: 1,822,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,309 : 830,328 = 830,328 : x
  2. Step 2: Convert to fraction form
    378,309/830,328 = 830,328/x
  3. Step 3: Cross multiply
    378,309x = 830,328 × 830,328
  4. Step 4: Simplify right side
    378,309x = 689,444,587,584
  5. Step 5: Solve for x
    x = 689,444,587,584/378,309
  6. Step 6: Final answer
    x = 1,822,437.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.