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Finding the Third Proportional to 368,039 and 788,542

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Solution

The third proportional to 368,039 and 788,542 is: 1,689,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,039 : 788,542 = 788,542 : x
  2. Step 2: Convert to fraction form
    368,039/788,542 = 788,542/x
  3. Step 3: Cross multiply
    368,039x = 788,542 × 788,542
  4. Step 4: Simplify right side
    368,039x = 621,798,485,764
  5. Step 5: Solve for x
    x = 621,798,485,764/368,039
  6. Step 6: Final answer
    x = 1,689,490.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.