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Finding the Third Proportional to 99,745 and 213,313

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Solution

The third proportional to 99,745 and 213,313 is: 456,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,745 : 213,313 = 213,313 : x
  2. Step 2: Convert to fraction form
    99,745/213,313 = 213,313/x
  3. Step 3: Cross multiply
    99,745x = 213,313 × 213,313
  4. Step 4: Simplify right side
    99,745x = 45,502,435,969
  5. Step 5: Solve for x
    x = 45,502,435,969/99,745
  6. Step 6: Final answer
    x = 456,187.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.