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Finding the Third Proportional to 171,641 and 358,976

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Solution

The third proportional to 171,641 and 358,976 is: 750,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,641 : 358,976 = 358,976 : x
  2. Step 2: Convert to fraction form
    171,641/358,976 = 358,976/x
  3. Step 3: Cross multiply
    171,641x = 358,976 × 358,976
  4. Step 4: Simplify right side
    171,641x = 128,863,768,576
  5. Step 5: Solve for x
    x = 128,863,768,576/171,641
  6. Step 6: Final answer
    x = 750,774.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.