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Finding the Third Proportional to 279,068 and 417,508

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Solution

The third proportional to 279,068 and 417,508 is: 624,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,068 : 417,508 = 417,508 : x
  2. Step 2: Convert to fraction form
    279,068/417,508 = 417,508/x
  3. Step 3: Cross multiply
    279,068x = 417,508 × 417,508
  4. Step 4: Simplify right side
    279,068x = 174,312,930,064
  5. Step 5: Solve for x
    x = 174,312,930,064/279,068
  6. Step 6: Final answer
    x = 624,625.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.