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Finding the Third Proportional to 301,425 and 409,383

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Solution

The third proportional to 301,425 and 409,383 is: 556,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,425 : 409,383 = 409,383 : x
  2. Step 2: Convert to fraction form
    301,425/409,383 = 409,383/x
  3. Step 3: Cross multiply
    301,425x = 409,383 × 409,383
  4. Step 4: Simplify right side
    301,425x = 167,594,440,689
  5. Step 5: Solve for x
    x = 167,594,440,689/301,425
  6. Step 6: Final answer
    x = 556,007.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.