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Finding the Third Proportional to 355,036 and 772,764

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Solution

The third proportional to 355,036 and 772,764 is: 1,681,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,036 : 772,764 = 772,764 : x
  2. Step 2: Convert to fraction form
    355,036/772,764 = 772,764/x
  3. Step 3: Cross multiply
    355,036x = 772,764 × 772,764
  4. Step 4: Simplify right side
    355,036x = 597,164,199,696
  5. Step 5: Solve for x
    x = 597,164,199,696/355,036
  6. Step 6: Final answer
    x = 1,681,982.11

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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.