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Finding the Third Proportional to 78,512 and 172,000

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Solution

The third proportional to 78,512 and 172,000 is: 376,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512 : 172,000 = 172,000 : x
  2. Step 2: Convert to fraction form
    78,512/172,000 = 172,000/x
  3. Step 3: Cross multiply
    78,512x = 172,000 × 172,000
  4. Step 4: Simplify right side
    78,512x = 29,584,000,000
  5. Step 5: Solve for x
    x = 29,584,000,000/78,512
  6. Step 6: Final answer
    x = 376,808.64

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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.