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Finding the Third Proportional to 130.83 and 282.08

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Solution

The third proportional to 130.83 and 282.08 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 282.08 = 282.08 : x
  2. Step 2: Convert to fraction form
    130.83/282.08 = 282.08/x
  3. Step 3: Cross multiply
    130.83x = 282.08 × 282.08
  4. Step 4: Simplify right side
    130.83x = 79,566.97
  5. Step 5: Solve for x
    x = 79,566.97/130.83
  6. Step 6: Final answer
    x = 608.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.