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Finding the Third Proportional to 239,954 and 555,509

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Solution

The third proportional to 239,954 and 555,509 is: 1,286,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,954 : 555,509 = 555,509 : x
  2. Step 2: Convert to fraction form
    239,954/555,509 = 555,509/x
  3. Step 3: Cross multiply
    239,954x = 555,509 × 555,509
  4. Step 4: Simplify right side
    239,954x = 308,590,249,081
  5. Step 5: Solve for x
    x = 308,590,249,081/239,954
  6. Step 6: Final answer
    x = 1,286,039.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.