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Finding the Third Proportional to 229,912 and 345,140

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Solution

The third proportional to 229,912 and 345,140 is: 518,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912 : 345,140 = 345,140 : x
  2. Step 2: Convert to fraction form
    229,912/345,140 = 345,140/x
  3. Step 3: Cross multiply
    229,912x = 345,140 × 345,140
  4. Step 4: Simplify right side
    229,912x = 119,121,619,600
  5. Step 5: Solve for x
    x = 119,121,619,600/229,912
  6. Step 6: Final answer
    x = 518,118.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.