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Finding the Third Proportional to 522,067.78 and 830,720.53

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Solution

The third proportional to 522,067.78 and 830,720.53 is: 1,321,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,067.78 : 830,720.53 = 830,720.53 : x
  2. Step 2: Convert to fraction form
    522,067.78/830,720.53 = 830,720.53/x
  3. Step 3: Cross multiply
    522,067.78x = 830,720.53 × 830,720.53
  4. Step 4: Simplify right side
    522,067.78x = 690,096,601,040.28
  5. Step 5: Solve for x
    x = 690,096,601,040.28/522,067.78
  6. Step 6: Final answer
    x = 1,321,852.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.