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Finding the Third Proportional to 211,469 and 493,445

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Solution

The third proportional to 211,469 and 493,445 is: 1,151,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,469 : 493,445 = 493,445 : x
  2. Step 2: Convert to fraction form
    211,469/493,445 = 493,445/x
  3. Step 3: Cross multiply
    211,469x = 493,445 × 493,445
  4. Step 4: Simplify right side
    211,469x = 243,487,968,025
  5. Step 5: Solve for x
    x = 243,487,968,025/211,469
  6. Step 6: Final answer
    x = 1,151,412.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.