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Finding the Third Proportional to 350,404 and 768,630

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Solution

The third proportional to 350,404 and 768,630 is: 1,686,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,404 : 768,630 = 768,630 : x
  2. Step 2: Convert to fraction form
    350,404/768,630 = 768,630/x
  3. Step 3: Cross multiply
    350,404x = 768,630 × 768,630
  4. Step 4: Simplify right side
    350,404x = 590,792,076,900
  5. Step 5: Solve for x
    x = 590,792,076,900/350,404
  6. Step 6: Final answer
    x = 1,686,031.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.