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Finding the Third Proportional to 145,064 and 221,912

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Solution

The third proportional to 145,064 and 221,912 is: 339,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064 : 221,912 = 221,912 : x
  2. Step 2: Convert to fraction form
    145,064/221,912 = 221,912/x
  3. Step 3: Cross multiply
    145,064x = 221,912 × 221,912
  4. Step 4: Simplify right side
    145,064x = 49,244,935,744
  5. Step 5: Solve for x
    x = 49,244,935,744/145,064
  6. Step 6: Final answer
    x = 339,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.