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Finding the Third Proportional to 78,025 and 114,259

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Solution

The third proportional to 78,025 and 114,259 is: 167,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025 : 114,259 = 114,259 : x
  2. Step 2: Convert to fraction form
    78,025/114,259 = 114,259/x
  3. Step 3: Cross multiply
    78,025x = 114,259 × 114,259
  4. Step 4: Simplify right side
    78,025x = 13,055,119,081
  5. Step 5: Solve for x
    x = 13,055,119,081/78,025
  6. Step 6: Final answer
    x = 167,319.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.