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Finding the Third Proportional to 77,814 and 118,665

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Solution

The third proportional to 77,814 and 118,665 is: 180,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,814 : 118,665 = 118,665 : x
  2. Step 2: Convert to fraction form
    77,814/118,665 = 118,665/x
  3. Step 3: Cross multiply
    77,814x = 118,665 × 118,665
  4. Step 4: Simplify right side
    77,814x = 14,081,382,225
  5. Step 5: Solve for x
    x = 14,081,382,225/77,814
  6. Step 6: Final answer
    x = 180,962.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.