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Finding the Third Proportional to 78,131 and 168,430

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Solution

The third proportional to 78,131 and 168,430 is: 363,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131 : 168,430 = 168,430 : x
  2. Step 2: Convert to fraction form
    78,131/168,430 = 168,430/x
  3. Step 3: Cross multiply
    78,131x = 168,430 × 168,430
  4. Step 4: Simplify right side
    78,131x = 28,368,664,900
  5. Step 5: Solve for x
    x = 28,368,664,900/78,131
  6. Step 6: Final answer
    x = 363,091.03

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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.