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Finding the Third Proportional to 142,735.92 and 311,784.19

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Solution

The third proportional to 142,735.92 and 311,784.19 is: 681,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,735.92 : 311,784.19 = 311,784.19 : x
  2. Step 2: Convert to fraction form
    142,735.92/311,784.19 = 311,784.19/x
  3. Step 3: Cross multiply
    142,735.92x = 311,784.19 × 311,784.19
  4. Step 4: Simplify right side
    142,735.92x = 97,209,379,575.04
  5. Step 5: Solve for x
    x = 97,209,379,575.04/142,735.92
  6. Step 6: Final answer
    x = 681,043.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.