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Finding the Third Proportional to 261,009 and 414,841.50

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Solution

The third proportional to 261,009 and 414,841.50 is: 659,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,009 : 414,841.50 = 414,841.50 : x
  2. Step 2: Convert to fraction form
    261,009/414,841.50 = 414,841.50/x
  3. Step 3: Cross multiply
    261,009x = 414,841.50 × 414,841.50
  4. Step 4: Simplify right side
    261,009x = 172,093,470,122.25
  5. Step 5: Solve for x
    x = 172,093,470,122.25/261,009
  6. Step 6: Final answer
    x = 659,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.