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Finding the Third Proportional to 240,902 and 518,804

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Solution

The third proportional to 240,902 and 518,804 is: 1,117,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,902 : 518,804 = 518,804 : x
  2. Step 2: Convert to fraction form
    240,902/518,804 = 518,804/x
  3. Step 3: Cross multiply
    240,902x = 518,804 × 518,804
  4. Step 4: Simplify right side
    240,902x = 269,157,590,416
  5. Step 5: Solve for x
    x = 269,157,590,416/240,902
  6. Step 6: Final answer
    x = 1,117,290.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.