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Finding the Third Proportional to 78,028 and 168,346

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Solution

The third proportional to 78,028 and 168,346 is: 363,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,028 : 168,346 = 168,346 : x
  2. Step 2: Convert to fraction form
    78,028/168,346 = 168,346/x
  3. Step 3: Cross multiply
    78,028x = 168,346 × 168,346
  4. Step 4: Simplify right side
    78,028x = 28,340,375,716
  5. Step 5: Solve for x
    x = 28,340,375,716/78,028
  6. Step 6: Final answer
    x = 363,207.77

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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.