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Finding the Third Proportional to 65,750.77 and 142,709.91

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Solution

The third proportional to 65,750.77 and 142,709.91 is: 309,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750.77 : 142,709.91 = 142,709.91 : x
  2. Step 2: Convert to fraction form
    65,750.77/142,709.91 = 142,709.91/x
  3. Step 3: Cross multiply
    65,750.77x = 142,709.91 × 142,709.91
  4. Step 4: Simplify right side
    65,750.77x = 20,366,117,341.88
  5. Step 5: Solve for x
    x = 20,366,117,341.88/65,750.77
  6. Step 6: Final answer
    x = 309,747.23

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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.