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Finding the Third Proportional to 78,218 and 167,504

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Solution

The third proportional to 78,218 and 167,504 is: 358,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218 : 167,504 = 167,504 : x
  2. Step 2: Convert to fraction form
    78,218/167,504 = 167,504/x
  3. Step 3: Cross multiply
    78,218x = 167,504 × 167,504
  4. Step 4: Simplify right side
    78,218x = 28,057,590,016
  5. Step 5: Solve for x
    x = 28,057,590,016/78,218
  6. Step 6: Final answer
    x = 358,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.