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Finding the Third Proportional to 258,516 and 554,472

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Solution

The third proportional to 258,516 and 554,472 is: 1,189,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,516 : 554,472 = 554,472 : x
  2. Step 2: Convert to fraction form
    258,516/554,472 = 554,472/x
  3. Step 3: Cross multiply
    258,516x = 554,472 × 554,472
  4. Step 4: Simplify right side
    258,516x = 307,439,198,784
  5. Step 5: Solve for x
    x = 307,439,198,784/258,516
  6. Step 6: Final answer
    x = 1,189,246.31

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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.