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Finding the Third Proportional to 210,819 and 455,288

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Solution

The third proportional to 210,819 and 455,288 is: 983,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,819 : 455,288 = 455,288 : x
  2. Step 2: Convert to fraction form
    210,819/455,288 = 455,288/x
  3. Step 3: Cross multiply
    210,819x = 455,288 × 455,288
  4. Step 4: Simplify right side
    210,819x = 207,287,162,944
  5. Step 5: Solve for x
    x = 207,287,162,944/210,819
  6. Step 6: Final answer
    x = 983,247.06

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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.