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Finding the Third Proportional to 279,128 and 409,620

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Solution

The third proportional to 279,128 and 409,620 is: 601,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,128 : 409,620 = 409,620 : x
  2. Step 2: Convert to fraction form
    279,128/409,620 = 409,620/x
  3. Step 3: Cross multiply
    279,128x = 409,620 × 409,620
  4. Step 4: Simplify right side
    279,128x = 167,788,544,400
  5. Step 5: Solve for x
    x = 167,788,544,400/279,128
  6. Step 6: Final answer
    x = 601,116.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.