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Finding the Third Proportional to 638,858 and 958,299

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Solution

The third proportional to 638,858 and 958,299 is: 1,437,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,858 : 958,299 = 958,299 : x
  2. Step 2: Convert to fraction form
    638,858/958,299 = 958,299/x
  3. Step 3: Cross multiply
    638,858x = 958,299 × 958,299
  4. Step 4: Simplify right side
    638,858x = 918,336,973,401
  5. Step 5: Solve for x
    x = 918,336,973,401/638,858
  6. Step 6: Final answer
    x = 1,437,466.50

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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.