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Finding the Third Proportional to 261,838 and 611,907

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Solution

The third proportional to 261,838 and 611,907 is: 1,430,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,838 : 611,907 = 611,907 : x
  2. Step 2: Convert to fraction form
    261,838/611,907 = 611,907/x
  3. Step 3: Cross multiply
    261,838x = 611,907 × 611,907
  4. Step 4: Simplify right side
    261,838x = 374,430,176,649
  5. Step 5: Solve for x
    x = 374,430,176,649/261,838
  6. Step 6: Final answer
    x = 1,430,007.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.