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Finding the Third Proportional to 390,630 and 836,556

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Solution

The third proportional to 390,630 and 836,556 is: 1,791,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,630 : 836,556 = 836,556 : x
  2. Step 2: Convert to fraction form
    390,630/836,556 = 836,556/x
  3. Step 3: Cross multiply
    390,630x = 836,556 × 836,556
  4. Step 4: Simplify right side
    390,630x = 699,825,941,136
  5. Step 5: Solve for x
    x = 699,825,941,136/390,630
  6. Step 6: Final answer
    x = 1,791,531.48

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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.