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Finding the Third Proportional to 64,041.50 and 92,242

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Solution

The third proportional to 64,041.50 and 92,242 is: 132,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,041.50 : 92,242 = 92,242 : x
  2. Step 2: Convert to fraction form
    64,041.50/92,242 = 92,242/x
  3. Step 3: Cross multiply
    64,041.50x = 92,242 × 92,242
  4. Step 4: Simplify right side
    64,041.50x = 8,508,586,564
  5. Step 5: Solve for x
    x = 8,508,586,564/64,041.50
  6. Step 6: Final answer
    x = 132,860.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.