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Finding the Third Proportional to 168,309 and 368,807

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Solution

The third proportional to 168,309 and 368,807 is: 808,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,309 : 368,807 = 368,807 : x
  2. Step 2: Convert to fraction form
    168,309/368,807 = 368,807/x
  3. Step 3: Cross multiply
    168,309x = 368,807 × 368,807
  4. Step 4: Simplify right side
    168,309x = 136,018,603,249
  5. Step 5: Solve for x
    x = 136,018,603,249/168,309
  6. Step 6: Final answer
    x = 808,148.13

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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.