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Finding the Third Proportional to 78,786 and 168,646

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Solution

The third proportional to 78,786 and 168,646 is: 360,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 168,646 = 168,646 : x
  2. Step 2: Convert to fraction form
    78,786/168,646 = 168,646/x
  3. Step 3: Cross multiply
    78,786x = 168,646 × 168,646
  4. Step 4: Simplify right side
    78,786x = 28,441,473,316
  5. Step 5: Solve for x
    x = 28,441,473,316/78,786
  6. Step 6: Final answer
    x = 360,996.54

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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.