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Finding the Third Proportional to 257,554 and 409,819

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Solution

The third proportional to 257,554 and 409,819 is: 652,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,554 : 409,819 = 409,819 : x
  2. Step 2: Convert to fraction form
    257,554/409,819 = 409,819/x
  3. Step 3: Cross multiply
    257,554x = 409,819 × 409,819
  4. Step 4: Simplify right side
    257,554x = 167,951,612,761
  5. Step 5: Solve for x
    x = 167,951,612,761/257,554
  6. Step 6: Final answer
    x = 652,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.