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Finding the Third Proportional to 526,257 and 820,152

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Solution

The third proportional to 526,257 and 820,152 is: 1,278,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,257 : 820,152 = 820,152 : x
  2. Step 2: Convert to fraction form
    526,257/820,152 = 820,152/x
  3. Step 3: Cross multiply
    526,257x = 820,152 × 820,152
  4. Step 4: Simplify right side
    526,257x = 672,649,303,104
  5. Step 5: Solve for x
    x = 672,649,303,104/526,257
  6. Step 6: Final answer
    x = 1,278,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.