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Finding the Third Proportional to 86,943 and 190,491

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Solution

The third proportional to 86,943 and 190,491 is: 417,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,943 : 190,491 = 190,491 : x
  2. Step 2: Convert to fraction form
    86,943/190,491 = 190,491/x
  3. Step 3: Cross multiply
    86,943x = 190,491 × 190,491
  4. Step 4: Simplify right side
    86,943x = 36,286,821,081
  5. Step 5: Solve for x
    x = 36,286,821,081/86,943
  6. Step 6: Final answer
    x = 417,363.34

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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.