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Finding the Third Proportional to 129,898.69 and 281,530.69

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Solution

The third proportional to 129,898.69 and 281,530.69 is: 610,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,898.69 : 281,530.69 = 281,530.69 : x
  2. Step 2: Convert to fraction form
    129,898.69/281,530.69 = 281,530.69/x
  3. Step 3: Cross multiply
    129,898.69x = 281,530.69 × 281,530.69
  4. Step 4: Simplify right side
    129,898.69x = 79,259,528,004.22
  5. Step 5: Solve for x
    x = 79,259,528,004.22/129,898.69
  6. Step 6: Final answer
    x = 610,164.19

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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.