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Finding the Third Proportional to 285,129 and 612,378

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Solution

The third proportional to 285,129 and 612,378 is: 1,315,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,129 : 612,378 = 612,378 : x
  2. Step 2: Convert to fraction form
    285,129/612,378 = 612,378/x
  3. Step 3: Cross multiply
    285,129x = 612,378 × 612,378
  4. Step 4: Simplify right side
    285,129x = 375,006,814,884
  5. Step 5: Solve for x
    x = 375,006,814,884/285,129
  6. Step 6: Final answer
    x = 1,315,218.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.