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Finding the Third Proportional to 129,088.69 and 199,396.69

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Solution

The third proportional to 129,088.69 and 199,396.69 is: 307,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,088.69 : 199,396.69 = 199,396.69 : x
  2. Step 2: Convert to fraction form
    129,088.69/199,396.69 = 199,396.69/x
  3. Step 3: Cross multiply
    129,088.69x = 199,396.69 × 199,396.69
  4. Step 4: Simplify right side
    129,088.69x = 39,759,038,985.97
  5. Step 5: Solve for x
    x = 39,759,038,985.97/129,088.69
  6. Step 6: Final answer
    x = 307,997.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.