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Finding the Third Proportional to 257,798 and 378,796

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Solution

The third proportional to 257,798 and 378,796 is: 556,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,798 : 378,796 = 378,796 : x
  2. Step 2: Convert to fraction form
    257,798/378,796 = 378,796/x
  3. Step 3: Cross multiply
    257,798x = 378,796 × 378,796
  4. Step 4: Simplify right side
    257,798x = 143,486,409,616
  5. Step 5: Solve for x
    x = 143,486,409,616/257,798
  6. Step 6: Final answer
    x = 556,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.