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Finding the Third Proportional to 65,742.75 and 143,925.75

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Solution

The third proportional to 65,742.75 and 143,925.75 is: 315,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.75 : 143,925.75 = 143,925.75 : x
  2. Step 2: Convert to fraction form
    65,742.75/143,925.75 = 143,925.75/x
  3. Step 3: Cross multiply
    65,742.75x = 143,925.75 × 143,925.75
  4. Step 4: Simplify right side
    65,742.75x = 20,714,621,513.06
  5. Step 5: Solve for x
    x = 20,714,621,513.06/65,742.75
  6. Step 6: Final answer
    x = 315,086.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.