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Finding the Third Proportional to 209,580 and 452,388

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Solution

The third proportional to 209,580 and 452,388 is: 976,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,580 : 452,388 = 452,388 : x
  2. Step 2: Convert to fraction form
    209,580/452,388 = 452,388/x
  3. Step 3: Cross multiply
    209,580x = 452,388 × 452,388
  4. Step 4: Simplify right side
    209,580x = 204,654,902,544
  5. Step 5: Solve for x
    x = 204,654,902,544/209,580
  6. Step 6: Final answer
    x = 976,500.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.