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Finding the Third Proportional to 42,430 and 91,844

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Solution

The third proportional to 42,430 and 91,844 is: 198,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430 : 91,844 = 91,844 : x
  2. Step 2: Convert to fraction form
    42,430/91,844 = 91,844/x
  3. Step 3: Cross multiply
    42,430x = 91,844 × 91,844
  4. Step 4: Simplify right side
    42,430x = 8,435,320,336
  5. Step 5: Solve for x
    x = 8,435,320,336/42,430
  6. Step 6: Final answer
    x = 198,805.57

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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.