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Finding the Third Proportional to 285,634.69 and 610,635.38

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Solution

The third proportional to 285,634.69 and 610,635.38 is: 1,305,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,634.69 : 610,635.38 = 610,635.38 : x
  2. Step 2: Convert to fraction form
    285,634.69/610,635.38 = 610,635.38/x
  3. Step 3: Cross multiply
    285,634.69x = 610,635.38 × 610,635.38
  4. Step 4: Simplify right side
    285,634.69x = 372,875,561,201.39
  5. Step 5: Solve for x
    x = 372,875,561,201.39/285,634.69
  6. Step 6: Final answer
    x = 1,305,428.15

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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.