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Finding the Third Proportional to 130,208 and 282,880

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Solution

The third proportional to 130,208 and 282,880 is: 614,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,208 : 282,880 = 282,880 : x
  2. Step 2: Convert to fraction form
    130,208/282,880 = 282,880/x
  3. Step 3: Cross multiply
    130,208x = 282,880 × 282,880
  4. Step 4: Simplify right side
    130,208x = 80,021,094,400
  5. Step 5: Solve for x
    x = 80,021,094,400/130,208
  6. Step 6: Final answer
    x = 614,563.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.