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Finding the Third Proportional to 78,457 and 120,041

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Solution

The third proportional to 78,457 and 120,041 is: 183,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457 : 120,041 = 120,041 : x
  2. Step 2: Convert to fraction form
    78,457/120,041 = 120,041/x
  3. Step 3: Cross multiply
    78,457x = 120,041 × 120,041
  4. Step 4: Simplify right side
    78,457x = 14,409,841,681
  5. Step 5: Solve for x
    x = 14,409,841,681/78,457
  6. Step 6: Final answer
    x = 183,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.