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Finding the Third Proportional to 274,145 and 611,324.50

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Solution

The third proportional to 274,145 and 611,324.50 is: 1,363,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,145 : 611,324.50 = 611,324.50 : x
  2. Step 2: Convert to fraction form
    274,145/611,324.50 = 611,324.50/x
  3. Step 3: Cross multiply
    274,145x = 611,324.50 × 611,324.50
  4. Step 4: Simplify right side
    274,145x = 373,717,644,300.25
  5. Step 5: Solve for x
    x = 373,717,644,300.25/274,145
  6. Step 6: Final answer
    x = 1,363,211.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.