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Finding the Third Proportional to 521,704.50 and 698,802.75

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Solution

The third proportional to 521,704.50 and 698,802.75 is: 936,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,704.50 : 698,802.75 = 698,802.75 : x
  2. Step 2: Convert to fraction form
    521,704.50/698,802.75 = 698,802.75/x
  3. Step 3: Cross multiply
    521,704.50x = 698,802.75 × 698,802.75
  4. Step 4: Simplify right side
    521,704.50x = 488,325,283,407.56
  5. Step 5: Solve for x
    x = 488,325,283,407.56/521,704.50
  6. Step 6: Final answer
    x = 936,018.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.