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Finding the Third Proportional to 86,913 and 209,309

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Solution

The third proportional to 86,913 and 209,309 is: 504,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,913 : 209,309 = 209,309 : x
  2. Step 2: Convert to fraction form
    86,913/209,309 = 209,309/x
  3. Step 3: Cross multiply
    86,913x = 209,309 × 209,309
  4. Step 4: Simplify right side
    86,913x = 43,810,257,481
  5. Step 5: Solve for x
    x = 43,810,257,481/86,913
  6. Step 6: Final answer
    x = 504,070.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.