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Finding the Third Proportional to 122,427.84 and 173,390.20

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Solution

The third proportional to 122,427.84 and 173,390.20 is: 245,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,427.84 : 173,390.20 = 173,390.20 : x
  2. Step 2: Convert to fraction form
    122,427.84/173,390.20 = 173,390.20/x
  3. Step 3: Cross multiply
    122,427.84x = 173,390.20 × 173,390.20
  4. Step 4: Simplify right side
    122,427.84x = 30,064,162,539.73
  5. Step 5: Solve for x
    x = 30,064,162,539.73/122,427.84
  6. Step 6: Final answer
    x = 245,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.