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Finding the Third Proportional to 366,942 and 788,138

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Solution

The third proportional to 366,942 and 788,138 is: 1,692,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 788,138 = 788,138 : x
  2. Step 2: Convert to fraction form
    366,942/788,138 = 788,138/x
  3. Step 3: Cross multiply
    366,942x = 788,138 × 788,138
  4. Step 4: Simplify right side
    366,942x = 621,161,507,044
  5. Step 5: Solve for x
    x = 621,161,507,044/366,942
  6. Step 6: Final answer
    x = 1,692,805.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.