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Finding the Third Proportional to 247,912 and 509,008

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Solution

The third proportional to 247,912 and 509,008 is: 1,045,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,912 : 509,008 = 509,008 : x
  2. Step 2: Convert to fraction form
    247,912/509,008 = 509,008/x
  3. Step 3: Cross multiply
    247,912x = 509,008 × 509,008
  4. Step 4: Simplify right side
    247,912x = 259,089,144,064
  5. Step 5: Solve for x
    x = 259,089,144,064/247,912
  6. Step 6: Final answer
    x = 1,045,085.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.