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Finding the Third Proportional to 397,798 and 859,142

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Solution

The third proportional to 397,798 and 859,142 is: 1,855,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,798 : 859,142 = 859,142 : x
  2. Step 2: Convert to fraction form
    397,798/859,142 = 859,142/x
  3. Step 3: Cross multiply
    397,798x = 859,142 × 859,142
  4. Step 4: Simplify right side
    397,798x = 738,124,976,164
  5. Step 5: Solve for x
    x = 738,124,976,164/397,798
  6. Step 6: Final answer
    x = 1,855,527.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.