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Finding the Third Proportional to 65,975.88 and 142,319.75

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Solution

The third proportional to 65,975.88 and 142,319.75 is: 307,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975.88 : 142,319.75 = 142,319.75 : x
  2. Step 2: Convert to fraction form
    65,975.88/142,319.75 = 142,319.75/x
  3. Step 3: Cross multiply
    65,975.88x = 142,319.75 × 142,319.75
  4. Step 4: Simplify right side
    65,975.88x = 20,254,911,240.06
  5. Step 5: Solve for x
    x = 20,254,911,240.06/65,975.88
  6. Step 6: Final answer
    x = 307,004.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.