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Finding the Third Proportional to 257,408 and 545,888

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Solution

The third proportional to 257,408 and 545,888 is: 1,157,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,408 : 545,888 = 545,888 : x
  2. Step 2: Convert to fraction form
    257,408/545,888 = 545,888/x
  3. Step 3: Cross multiply
    257,408x = 545,888 × 545,888
  4. Step 4: Simplify right side
    257,408x = 297,993,708,544
  5. Step 5: Solve for x
    x = 297,993,708,544/257,408
  6. Step 6: Final answer
    x = 1,157,670.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.