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Finding the Third Proportional to 78,786 and 168,642

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Solution

The third proportional to 78,786 and 168,642 is: 360,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 168,642 = 168,642 : x
  2. Step 2: Convert to fraction form
    78,786/168,642 = 168,642/x
  3. Step 3: Cross multiply
    78,786x = 168,642 × 168,642
  4. Step 4: Simplify right side
    78,786x = 28,440,124,164
  5. Step 5: Solve for x
    x = 28,440,124,164/78,786
  6. Step 6: Final answer
    x = 360,979.41

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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.