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Finding the Third Proportional to 204,078 and 432,858

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Solution

The third proportional to 204,078 and 432,858 is: 918,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,078 : 432,858 = 432,858 : x
  2. Step 2: Convert to fraction form
    204,078/432,858 = 432,858/x
  3. Step 3: Cross multiply
    204,078x = 432,858 × 432,858
  4. Step 4: Simplify right side
    204,078x = 187,366,048,164
  5. Step 5: Solve for x
    x = 187,366,048,164/204,078
  6. Step 6: Final answer
    x = 918,109.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.