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Finding the Third Proportional to 269,900 and 577,174

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Solution

The third proportional to 269,900 and 577,174 is: 1,234,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,900 : 577,174 = 577,174 : x
  2. Step 2: Convert to fraction form
    269,900/577,174 = 577,174/x
  3. Step 3: Cross multiply
    269,900x = 577,174 × 577,174
  4. Step 4: Simplify right side
    269,900x = 333,129,826,276
  5. Step 5: Solve for x
    x = 333,129,826,276/269,900
  6. Step 6: Final answer
    x = 1,234,271.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.