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Finding the Third Proportional to 296,321 and 638,968

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Solution

The third proportional to 296,321 and 638,968 is: 1,377,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,321 : 638,968 = 638,968 : x
  2. Step 2: Convert to fraction form
    296,321/638,968 = 638,968/x
  3. Step 3: Cross multiply
    296,321x = 638,968 × 638,968
  4. Step 4: Simplify right side
    296,321x = 408,280,105,024
  5. Step 5: Solve for x
    x = 408,280,105,024/296,321
  6. Step 6: Final answer
    x = 1,377,830.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.