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Finding the Third Proportional to 142,801.50 and 310,185.75

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Solution

The third proportional to 142,801.50 and 310,185.75 is: 673,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,801.50 : 310,185.75 = 310,185.75 : x
  2. Step 2: Convert to fraction form
    142,801.50/310,185.75 = 310,185.75/x
  3. Step 3: Cross multiply
    142,801.50x = 310,185.75 × 310,185.75
  4. Step 4: Simplify right side
    142,801.50x = 96,215,199,503.06
  5. Step 5: Solve for x
    x = 96,215,199,503.06/142,801.50
  6. Step 6: Final answer
    x = 673,768.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.