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Finding the Third Proportional to 145,104 and 304,896

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Solution

The third proportional to 145,104 and 304,896 is: 640,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104 : 304,896 = 304,896 : x
  2. Step 2: Convert to fraction form
    145,104/304,896 = 304,896/x
  3. Step 3: Cross multiply
    145,104x = 304,896 × 304,896
  4. Step 4: Simplify right side
    145,104x = 92,961,570,816
  5. Step 5: Solve for x
    x = 92,961,570,816/145,104
  6. Step 6: Final answer
    x = 640,654.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.