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Finding the Third Proportional to 122,275.50 and 288,185

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Solution

The third proportional to 122,275.50 and 288,185 is: 679,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,275.50 : 288,185 = 288,185 : x
  2. Step 2: Convert to fraction form
    122,275.50/288,185 = 288,185/x
  3. Step 3: Cross multiply
    122,275.50x = 288,185 × 288,185
  4. Step 4: Simplify right side
    122,275.50x = 83,050,594,225
  5. Step 5: Solve for x
    x = 83,050,594,225/122,275.50
  6. Step 6: Final answer
    x = 679,208.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.