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Finding the Third Proportional to 350,072 and 767,920

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Solution

The third proportional to 350,072 and 767,920 is: 1,684,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,072 : 767,920 = 767,920 : x
  2. Step 2: Convert to fraction form
    350,072/767,920 = 767,920/x
  3. Step 3: Cross multiply
    350,072x = 767,920 × 767,920
  4. Step 4: Simplify right side
    350,072x = 589,701,126,400
  5. Step 5: Solve for x
    x = 589,701,126,400/350,072
  6. Step 6: Final answer
    x = 1,684,513.83

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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.