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Finding the Third Proportional to 86,890 and 190,392

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Solution

The third proportional to 86,890 and 190,392 is: 417,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,890 : 190,392 = 190,392 : x
  2. Step 2: Convert to fraction form
    86,890/190,392 = 190,392/x
  3. Step 3: Cross multiply
    86,890x = 190,392 × 190,392
  4. Step 4: Simplify right side
    86,890x = 36,249,113,664
  5. Step 5: Solve for x
    x = 36,249,113,664/86,890
  6. Step 6: Final answer
    x = 417,183.95

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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.