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Finding the Third Proportional to 122,580 and 173,454

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Solution

The third proportional to 122,580 and 173,454 is: 245,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,580 : 173,454 = 173,454 : x
  2. Step 2: Convert to fraction form
    122,580/173,454 = 173,454/x
  3. Step 3: Cross multiply
    122,580x = 173,454 × 173,454
  4. Step 4: Simplify right side
    122,580x = 30,086,290,116
  5. Step 5: Solve for x
    x = 30,086,290,116/122,580
  6. Step 6: Final answer
    x = 245,442.08

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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.