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Finding the Third Proportional to 290,478 and 440,064

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Solution

The third proportional to 290,478 and 440,064 is: 666,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,478 : 440,064 = 440,064 : x
  2. Step 2: Convert to fraction form
    290,478/440,064 = 440,064/x
  3. Step 3: Cross multiply
    290,478x = 440,064 × 440,064
  4. Step 4: Simplify right side
    290,478x = 193,656,324,096
  5. Step 5: Solve for x
    x = 193,656,324,096/290,478
  6. Step 6: Final answer
    x = 666,681.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.