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Finding the Third Proportional to 122,281.31 and 193,271.06

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Solution

The third proportional to 122,281.31 and 193,271.06 is: 305,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,281.31 : 193,271.06 = 193,271.06 : x
  2. Step 2: Convert to fraction form
    122,281.31/193,271.06 = 193,271.06/x
  3. Step 3: Cross multiply
    122,281.31x = 193,271.06 × 193,271.06
  4. Step 4: Simplify right side
    122,281.31x = 37,353,703,599.88
  5. Step 5: Solve for x
    x = 37,353,703,599.88/122,281.31
  6. Step 6: Final answer
    x = 305,473.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.