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Finding the Third Proportional to 145,104 and 205,392

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Solution

The third proportional to 145,104 and 205,392 is: 290,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104 : 205,392 = 205,392 : x
  2. Step 2: Convert to fraction form
    145,104/205,392 = 205,392/x
  3. Step 3: Cross multiply
    145,104x = 205,392 × 205,392
  4. Step 4: Simplify right side
    145,104x = 42,185,873,664
  5. Step 5: Solve for x
    x = 42,185,873,664/145,104
  6. Step 6: Final answer
    x = 290,728.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.