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Finding the Third Proportional to 130,256 and 280,416

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Solution

The third proportional to 130,256 and 280,416 is: 603,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,256 : 280,416 = 280,416 : x
  2. Step 2: Convert to fraction form
    130,256/280,416 = 280,416/x
  3. Step 3: Cross multiply
    130,256x = 280,416 × 280,416
  4. Step 4: Simplify right side
    130,256x = 78,633,133,056
  5. Step 5: Solve for x
    x = 78,633,133,056/130,256
  6. Step 6: Final answer
    x = 603,681.47

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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.