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Finding the Third Proportional to 258,359 and 554,089

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Solution

The third proportional to 258,359 and 554,089 is: 1,188,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,359 : 554,089 = 554,089 : x
  2. Step 2: Convert to fraction form
    258,359/554,089 = 554,089/x
  3. Step 3: Cross multiply
    258,359x = 554,089 × 554,089
  4. Step 4: Simplify right side
    258,359x = 307,014,619,921
  5. Step 5: Solve for x
    x = 307,014,619,921/258,359
  6. Step 6: Final answer
    x = 1,188,325.62

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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.