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Finding the Third Proportional to 210,556 and 285,860

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Solution

The third proportional to 210,556 and 285,860 is: 388,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,556 : 285,860 = 285,860 : x
  2. Step 2: Convert to fraction form
    210,556/285,860 = 285,860/x
  3. Step 3: Cross multiply
    210,556x = 285,860 × 285,860
  4. Step 4: Simplify right side
    210,556x = 81,715,939,600
  5. Step 5: Solve for x
    x = 81,715,939,600/210,556
  6. Step 6: Final answer
    x = 388,095.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.