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Finding the Third Proportional to 257,874 and 553,834

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Solution

The third proportional to 257,874 and 553,834 is: 1,189,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,874 : 553,834 = 553,834 : x
  2. Step 2: Convert to fraction form
    257,874/553,834 = 553,834/x
  3. Step 3: Cross multiply
    257,874x = 553,834 × 553,834
  4. Step 4: Simplify right side
    257,874x = 306,732,099,556
  5. Step 5: Solve for x
    x = 306,732,099,556/257,874
  6. Step 6: Final answer
    x = 1,189,465.01

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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.