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Finding the Third Proportional to 257,106 and 526,740

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Solution

The third proportional to 257,106 and 526,740 is: 1,079,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,106 : 526,740 = 526,740 : x
  2. Step 2: Convert to fraction form
    257,106/526,740 = 526,740/x
  3. Step 3: Cross multiply
    257,106x = 526,740 × 526,740
  4. Step 4: Simplify right side
    257,106x = 277,455,027,600
  5. Step 5: Solve for x
    x = 277,455,027,600/257,106
  6. Step 6: Final answer
    x = 1,079,146.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.