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Finding the Third Proportional to 145,816 and 319,064

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Solution

The third proportional to 145,816 and 319,064 is: 698,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816 : 319,064 = 319,064 : x
  2. Step 2: Convert to fraction form
    145,816/319,064 = 319,064/x
  3. Step 3: Cross multiply
    145,816x = 319,064 × 319,064
  4. Step 4: Simplify right side
    145,816x = 101,801,836,096
  5. Step 5: Solve for x
    x = 101,801,836,096/145,816
  6. Step 6: Final answer
    x = 698,152.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.