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Finding the Third Proportional to 78,001 and 168,455

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Solution

The third proportional to 78,001 and 168,455 is: 363,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001 : 168,455 = 168,455 : x
  2. Step 2: Convert to fraction form
    78,001/168,455 = 168,455/x
  3. Step 3: Cross multiply
    78,001x = 168,455 × 168,455
  4. Step 4: Simplify right side
    78,001x = 28,377,087,025
  5. Step 5: Solve for x
    x = 28,377,087,025/78,001
  6. Step 6: Final answer
    x = 363,804.14

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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.