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Finding the Third Proportional to 296,517 and 638,064

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Solution

The third proportional to 296,517 and 638,064 is: 1,373,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,517 : 638,064 = 638,064 : x
  2. Step 2: Convert to fraction form
    296,517/638,064 = 638,064/x
  3. Step 3: Cross multiply
    296,517x = 638,064 × 638,064
  4. Step 4: Simplify right side
    296,517x = 407,125,668,096
  5. Step 5: Solve for x
    x = 407,125,668,096/296,517
  6. Step 6: Final answer
    x = 1,373,026.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.