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Finding the Third Proportional to 213,958.13 and 299,111.63

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Solution

The third proportional to 213,958.13 and 299,111.63 is: 418,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.13 : 299,111.63 = 299,111.63 : x
  2. Step 2: Convert to fraction form
    213,958.13/299,111.63 = 299,111.63/x
  3. Step 3: Cross multiply
    213,958.13x = 299,111.63 × 299,111.63
  4. Step 4: Simplify right side
    213,958.13x = 89,467,764,210.14
  5. Step 5: Solve for x
    x = 89,467,764,210.14/213,958.13
  6. Step 6: Final answer
    x = 418,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.