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Finding the Third Proportional to 78,896 and 163,543

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Solution

The third proportional to 78,896 and 163,543 is: 339,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,896 : 163,543 = 163,543 : x
  2. Step 2: Convert to fraction form
    78,896/163,543 = 163,543/x
  3. Step 3: Cross multiply
    78,896x = 163,543 × 163,543
  4. Step 4: Simplify right side
    78,896x = 26,746,312,849
  5. Step 5: Solve for x
    x = 26,746,312,849/78,896
  6. Step 6: Final answer
    x = 339,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.