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Finding the Third Proportional to 76,407 and 116,807

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Solution

The third proportional to 76,407 and 116,807 is: 178,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,407 : 116,807 = 116,807 : x
  2. Step 2: Convert to fraction form
    76,407/116,807 = 116,807/x
  3. Step 3: Cross multiply
    76,407x = 116,807 × 116,807
  4. Step 4: Simplify right side
    76,407x = 13,643,875,249
  5. Step 5: Solve for x
    x = 13,643,875,249/76,407
  6. Step 6: Final answer
    x = 178,568.39

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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.