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Finding the Third Proportional to 135,011 and 312,561.50

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Solution

The third proportional to 135,011 and 312,561.50 is: 723,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,011 : 312,561.50 = 312,561.50 : x
  2. Step 2: Convert to fraction form
    135,011/312,561.50 = 312,561.50/x
  3. Step 3: Cross multiply
    135,011x = 312,561.50 × 312,561.50
  4. Step 4: Simplify right side
    135,011x = 97,694,691,282.25
  5. Step 5: Solve for x
    x = 97,694,691,282.25/135,011
  6. Step 6: Final answer
    x = 723,605.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.