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Finding the Third Proportional to 300,064 and 638,324

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Solution

The third proportional to 300,064 and 638,324 is: 1,357,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,064 : 638,324 = 638,324 : x
  2. Step 2: Convert to fraction form
    300,064/638,324 = 638,324/x
  3. Step 3: Cross multiply
    300,064x = 638,324 × 638,324
  4. Step 4: Simplify right side
    300,064x = 407,457,528,976
  5. Step 5: Solve for x
    x = 407,457,528,976/300,064
  6. Step 6: Final answer
    x = 1,357,902.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.