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Finding the Third Proportional to 528,659 and 851,218

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Solution

The third proportional to 528,659 and 851,218 is: 1,370,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,659 : 851,218 = 851,218 : x
  2. Step 2: Convert to fraction form
    528,659/851,218 = 851,218/x
  3. Step 3: Cross multiply
    528,659x = 851,218 × 851,218
  4. Step 4: Simplify right side
    528,659x = 724,572,083,524
  5. Step 5: Solve for x
    x = 724,572,083,524/528,659
  6. Step 6: Final answer
    x = 1,370,584.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.