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Finding the Third Proportional to 390,120 and 851,682

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Solution

The third proportional to 390,120 and 851,682 is: 1,859,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120 : 851,682 = 851,682 : x
  2. Step 2: Convert to fraction form
    390,120/851,682 = 851,682/x
  3. Step 3: Cross multiply
    390,120x = 851,682 × 851,682
  4. Step 4: Simplify right side
    390,120x = 725,362,229,124
  5. Step 5: Solve for x
    x = 725,362,229,124/390,120
  6. Step 6: Final answer
    x = 1,859,331.05

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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.