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Finding the Third Proportional to 136,420.88 and 321,583.50

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Solution

The third proportional to 136,420.88 and 321,583.50 is: 758,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,420.88 : 321,583.50 = 321,583.50 : x
  2. Step 2: Convert to fraction form
    136,420.88/321,583.50 = 321,583.50/x
  3. Step 3: Cross multiply
    136,420.88x = 321,583.50 × 321,583.50
  4. Step 4: Simplify right side
    136,420.88x = 103,415,947,472.25
  5. Step 5: Solve for x
    x = 103,415,947,472.25/136,420.88
  6. Step 6: Final answer
    x = 758,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.