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Finding the Third Proportional to 210,652 and 438,806

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Solution

The third proportional to 210,652 and 438,806 is: 914,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,652 : 438,806 = 438,806 : x
  2. Step 2: Convert to fraction form
    210,652/438,806 = 438,806/x
  3. Step 3: Cross multiply
    210,652x = 438,806 × 438,806
  4. Step 4: Simplify right side
    210,652x = 192,550,705,636
  5. Step 5: Solve for x
    x = 192,550,705,636/210,652
  6. Step 6: Final answer
    x = 914,070.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.