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Finding the Third Proportional to 122,492.75 and 288,203

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Solution

The third proportional to 122,492.75 and 288,203 is: 678,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.75 : 288,203 = 288,203 : x
  2. Step 2: Convert to fraction form
    122,492.75/288,203 = 288,203/x
  3. Step 3: Cross multiply
    122,492.75x = 288,203 × 288,203
  4. Step 4: Simplify right side
    122,492.75x = 83,060,969,209
  5. Step 5: Solve for x
    x = 83,060,969,209/122,492.75
  6. Step 6: Final answer
    x = 678,088.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.