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Finding the Third Proportional to 78,786 and 168,372

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Solution

The third proportional to 78,786 and 168,372 is: 359,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 168,372 = 168,372 : x
  2. Step 2: Convert to fraction form
    78,786/168,372 = 168,372/x
  3. Step 3: Cross multiply
    78,786x = 168,372 × 168,372
  4. Step 4: Simplify right side
    78,786x = 28,349,130,384
  5. Step 5: Solve for x
    x = 28,349,130,384/78,786
  6. Step 6: Final answer
    x = 359,824.47

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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.