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Finding the Third Proportional to 118,226 and 178,565

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Solution

The third proportional to 118,226 and 178,565 is: 269,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,226 : 178,565 = 178,565 : x
  2. Step 2: Convert to fraction form
    118,226/178,565 = 178,565/x
  3. Step 3: Cross multiply
    118,226x = 178,565 × 178,565
  4. Step 4: Simplify right side
    118,226x = 31,885,459,225
  5. Step 5: Solve for x
    x = 31,885,459,225/118,226
  6. Step 6: Final answer
    x = 269,699.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.