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Finding the Third Proportional to 78,126 and 168,420

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Solution

The third proportional to 78,126 and 168,420 is: 363,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126 : 168,420 = 168,420 : x
  2. Step 2: Convert to fraction form
    78,126/168,420 = 168,420/x
  3. Step 3: Cross multiply
    78,126x = 168,420 × 168,420
  4. Step 4: Simplify right side
    78,126x = 28,365,296,400
  5. Step 5: Solve for x
    x = 28,365,296,400/78,126
  6. Step 6: Final answer
    x = 363,071.15

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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.