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Finding the Third Proportional to 281,928 and 412,308

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Solution

The third proportional to 281,928 and 412,308 is: 602,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,928 : 412,308 = 412,308 : x
  2. Step 2: Convert to fraction form
    281,928/412,308 = 412,308/x
  3. Step 3: Cross multiply
    281,928x = 412,308 × 412,308
  4. Step 4: Simplify right side
    281,928x = 169,997,886,864
  5. Step 5: Solve for x
    x = 169,997,886,864/281,928
  6. Step 6: Final answer
    x = 602,983.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.