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Finding the Third Proportional to 257,130 and 526,788

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Solution

The third proportional to 257,130 and 526,788 is: 1,079,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130 : 526,788 = 526,788 : x
  2. Step 2: Convert to fraction form
    257,130/526,788 = 526,788/x
  3. Step 3: Cross multiply
    257,130x = 526,788 × 526,788
  4. Step 4: Simplify right side
    257,130x = 277,505,596,944
  5. Step 5: Solve for x
    x = 277,505,596,944/257,130
  6. Step 6: Final answer
    x = 1,079,242.39

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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.