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Finding the Third Proportional to 180,993 and 390,036

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Solution

The third proportional to 180,993 and 390,036 is: 840,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,993 : 390,036 = 390,036 : x
  2. Step 2: Convert to fraction form
    180,993/390,036 = 390,036/x
  3. Step 3: Cross multiply
    180,993x = 390,036 × 390,036
  4. Step 4: Simplify right side
    180,993x = 152,128,081,296
  5. Step 5: Solve for x
    x = 152,128,081,296/180,993
  6. Step 6: Final answer
    x = 840,519.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.