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Finding the Third Proportional to 173,207 and 275,819

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Solution

The third proportional to 173,207 and 275,819 is: 439,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,207 : 275,819 = 275,819 : x
  2. Step 2: Convert to fraction form
    173,207/275,819 = 275,819/x
  3. Step 3: Cross multiply
    173,207x = 275,819 × 275,819
  4. Step 4: Simplify right side
    173,207x = 76,076,120,761
  5. Step 5: Solve for x
    x = 76,076,120,761/173,207
  6. Step 6: Final answer
    x = 439,220.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.