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Finding the Third Proportional to 390,027 and 599,232

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Solution

The third proportional to 390,027 and 599,232 is: 920,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,027 : 599,232 = 599,232 : x
  2. Step 2: Convert to fraction form
    390,027/599,232 = 599,232/x
  3. Step 3: Cross multiply
    390,027x = 599,232 × 599,232
  4. Step 4: Simplify right side
    390,027x = 359,078,989,824
  5. Step 5: Solve for x
    x = 359,078,989,824/390,027
  6. Step 6: Final answer
    x = 920,651.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.