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Finding the Third Proportional to 211,313 and 432,343

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Solution

The third proportional to 211,313 and 432,343 is: 884,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,313 : 432,343 = 432,343 : x
  2. Step 2: Convert to fraction form
    211,313/432,343 = 432,343/x
  3. Step 3: Cross multiply
    211,313x = 432,343 × 432,343
  4. Step 4: Simplify right side
    211,313x = 186,920,469,649
  5. Step 5: Solve for x
    x = 186,920,469,649/211,313
  6. Step 6: Final answer
    x = 884,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.