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Finding the Third Proportional to 173,212 and 372,209

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Solution

The third proportional to 173,212 and 372,209 is: 799,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,212 : 372,209 = 372,209 : x
  2. Step 2: Convert to fraction form
    173,212/372,209 = 372,209/x
  3. Step 3: Cross multiply
    173,212x = 372,209 × 372,209
  4. Step 4: Simplify right side
    173,212x = 138,539,539,681
  5. Step 5: Solve for x
    x = 138,539,539,681/173,212
  6. Step 6: Final answer
    x = 799,826.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.