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Finding the Third Proportional to 390,105 and 851,652

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Solution

The third proportional to 390,105 and 851,652 is: 1,859,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,105 : 851,652 = 851,652 : x
  2. Step 2: Convert to fraction form
    390,105/851,652 = 851,652/x
  3. Step 3: Cross multiply
    390,105x = 851,652 × 851,652
  4. Step 4: Simplify right side
    390,105x = 725,311,129,104
  5. Step 5: Solve for x
    x = 725,311,129,104/390,105
  6. Step 6: Final answer
    x = 1,859,271.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.