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Finding the Third Proportional to 257,768 and 546,512

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Solution

The third proportional to 257,768 and 546,512 is: 1,158,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,768 : 546,512 = 546,512 : x
  2. Step 2: Convert to fraction form
    257,768/546,512 = 546,512/x
  3. Step 3: Cross multiply
    257,768x = 546,512 × 546,512
  4. Step 4: Simplify right side
    257,768x = 298,675,366,144
  5. Step 5: Solve for x
    x = 298,675,366,144/257,768
  6. Step 6: Final answer
    x = 1,158,698.39

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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.