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Finding the Third Proportional to 78,040 and 168,344

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Solution

The third proportional to 78,040 and 168,344 is: 363,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040 : 168,344 = 168,344 : x
  2. Step 2: Convert to fraction form
    78,040/168,344 = 168,344/x
  3. Step 3: Cross multiply
    78,040x = 168,344 × 168,344
  4. Step 4: Simplify right side
    78,040x = 28,339,702,336
  5. Step 5: Solve for x
    x = 28,339,702,336/78,040
  6. Step 6: Final answer
    x = 363,143.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.