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Finding the Third Proportional to 77,746 and 163,326

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Solution

The third proportional to 77,746 and 163,326 is: 343,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746 : 163,326 = 163,326 : x
  2. Step 2: Convert to fraction form
    77,746/163,326 = 163,326/x
  3. Step 3: Cross multiply
    77,746x = 163,326 × 163,326
  4. Step 4: Simplify right side
    77,746x = 26,675,382,276
  5. Step 5: Solve for x
    x = 26,675,382,276/77,746
  6. Step 6: Final answer
    x = 343,109.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.