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Finding the Third Proportional to 319,488 and 485,064

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Solution

The third proportional to 319,488 and 485,064 is: 736,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,488 : 485,064 = 485,064 : x
  2. Step 2: Convert to fraction form
    319,488/485,064 = 485,064/x
  3. Step 3: Cross multiply
    319,488x = 485,064 × 485,064
  4. Step 4: Simplify right side
    319,488x = 235,287,084,096
  5. Step 5: Solve for x
    x = 235,287,084,096/319,488
  6. Step 6: Final answer
    x = 736,450.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.