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Finding the Third Proportional to 88,406 and 190,928

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Solution

The third proportional to 88,406 and 190,928 is: 412,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,406 : 190,928 = 190,928 : x
  2. Step 2: Convert to fraction form
    88,406/190,928 = 190,928/x
  3. Step 3: Cross multiply
    88,406x = 190,928 × 190,928
  4. Step 4: Simplify right side
    88,406x = 36,453,501,184
  5. Step 5: Solve for x
    x = 36,453,501,184/88,406
  6. Step 6: Final answer
    x = 412,341.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.