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Finding the Third Proportional to 129,522.75 and 278,728.50

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Solution

The third proportional to 129,522.75 and 278,728.50 is: 599,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,522.75 : 278,728.50 = 278,728.50 : x
  2. Step 2: Convert to fraction form
    129,522.75/278,728.50 = 278,728.50/x
  3. Step 3: Cross multiply
    129,522.75x = 278,728.50 × 278,728.50
  4. Step 4: Simplify right side
    129,522.75x = 77,689,576,712.25
  5. Step 5: Solve for x
    x = 77,689,576,712.25/129,522.75
  6. Step 6: Final answer
    x = 599,814.14

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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.