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Finding the Third Proportional to 77,500 and 172,536

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Solution

The third proportional to 77,500 and 172,536 is: 384,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500 : 172,536 = 172,536 : x
  2. Step 2: Convert to fraction form
    77,500/172,536 = 172,536/x
  3. Step 3: Cross multiply
    77,500x = 172,536 × 172,536
  4. Step 4: Simplify right side
    77,500x = 29,768,671,296
  5. Step 5: Solve for x
    x = 29,768,671,296/77,500
  6. Step 6: Final answer
    x = 384,111.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.