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Finding the Third Proportional to 368,086 and 788,661

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Solution

The third proportional to 368,086 and 788,661 is: 1,689,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,086 : 788,661 = 788,661 : x
  2. Step 2: Convert to fraction form
    368,086/788,661 = 788,661/x
  3. Step 3: Cross multiply
    368,086x = 788,661 × 788,661
  4. Step 4: Simplify right side
    368,086x = 621,986,172,921
  5. Step 5: Solve for x
    x = 621,986,172,921/368,086
  6. Step 6: Final answer
    x = 1,689,784.92

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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.