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Finding the Third Proportional to 349,992 and 767,780

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Solution

The third proportional to 349,992 and 767,780 is: 1,684,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,992 : 767,780 = 767,780 : x
  2. Step 2: Convert to fraction form
    349,992/767,780 = 767,780/x
  3. Step 3: Cross multiply
    349,992x = 767,780 × 767,780
  4. Step 4: Simplify right side
    349,992x = 589,486,128,400
  5. Step 5: Solve for x
    x = 589,486,128,400/349,992
  6. Step 6: Final answer
    x = 1,684,284.58

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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.