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Finding the Third Proportional to 261,838.50 and 629,809.50

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Solution

The third proportional to 261,838.50 and 629,809.50 is: 1,514,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,838.50 : 629,809.50 = 629,809.50 : x
  2. Step 2: Convert to fraction form
    261,838.50/629,809.50 = 629,809.50/x
  3. Step 3: Cross multiply
    261,838.50x = 629,809.50 × 629,809.50
  4. Step 4: Simplify right side
    261,838.50x = 396,660,006,290.25
  5. Step 5: Solve for x
    x = 396,660,006,290.25/261,838.50
  6. Step 6: Final answer
    x = 1,514,903.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.