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Finding the Third Proportional to 130,470 and 280,245

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Solution

The third proportional to 130,470 and 280,245 is: 601,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,470 : 280,245 = 280,245 : x
  2. Step 2: Convert to fraction form
    130,470/280,245 = 280,245/x
  3. Step 3: Cross multiply
    130,470x = 280,245 × 280,245
  4. Step 4: Simplify right side
    130,470x = 78,537,260,025
  5. Step 5: Solve for x
    x = 78,537,260,025/130,470
  6. Step 6: Final answer
    x = 601,956.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.