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Finding the Third Proportional to 78,963.75 and 172,689.38

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Solution

The third proportional to 78,963.75 and 172,689.38 is: 377,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963.75 : 172,689.38 = 172,689.38 : x
  2. Step 2: Convert to fraction form
    78,963.75/172,689.38 = 172,689.38/x
  3. Step 3: Cross multiply
    78,963.75x = 172,689.38 × 172,689.38
  4. Step 4: Simplify right side
    78,963.75x = 29,821,620,237.89
  5. Step 5: Solve for x
    x = 29,821,620,237.89/78,963.75
  6. Step 6: Final answer
    x = 377,662.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.