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Finding the Third Proportional to 57,300.75 and 135,484.75

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Solution

The third proportional to 57,300.75 and 135,484.75 is: 320,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,300.75 : 135,484.75 = 135,484.75 : x
  2. Step 2: Convert to fraction form
    57,300.75/135,484.75 = 135,484.75/x
  3. Step 3: Cross multiply
    57,300.75x = 135,484.75 × 135,484.75
  4. Step 4: Simplify right side
    57,300.75x = 18,356,117,482.56
  5. Step 5: Solve for x
    x = 18,356,117,482.56/57,300.75
  6. Step 6: Final answer
    x = 320,346.90

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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.