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Finding the Third Proportional to 528,638 and 851,188

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Solution

The third proportional to 528,638 and 851,188 is: 1,370,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,638 : 851,188 = 851,188 : x
  2. Step 2: Convert to fraction form
    528,638/851,188 = 851,188/x
  3. Step 3: Cross multiply
    528,638x = 851,188 × 851,188
  4. Step 4: Simplify right side
    528,638x = 724,521,011,344
  5. Step 5: Solve for x
    x = 724,521,011,344/528,638
  6. Step 6: Final answer
    x = 1,370,542.81

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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.