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Finding the Third Proportional to 259,290 and 554,544

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Solution

The third proportional to 259,290 and 554,544 is: 1,186,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,290 : 554,544 = 554,544 : x
  2. Step 2: Convert to fraction form
    259,290/554,544 = 554,544/x
  3. Step 3: Cross multiply
    259,290x = 554,544 × 554,544
  4. Step 4: Simplify right side
    259,290x = 307,519,047,936
  5. Step 5: Solve for x
    x = 307,519,047,936/259,290
  6. Step 6: Final answer
    x = 1,186,004.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.