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Finding the Third Proportional to 130,624 and 282,976

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Solution

The third proportional to 130,624 and 282,976 is: 613,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,624 : 282,976 = 282,976 : x
  2. Step 2: Convert to fraction form
    130,624/282,976 = 282,976/x
  3. Step 3: Cross multiply
    130,624x = 282,976 × 282,976
  4. Step 4: Simplify right side
    130,624x = 80,075,416,576
  5. Step 5: Solve for x
    x = 80,075,416,576/130,624
  6. Step 6: Final answer
    x = 613,022.24

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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.