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Finding the Third Proportional to 118,209 and 177,435

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Solution

The third proportional to 118,209 and 177,435 is: 266,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,209 : 177,435 = 177,435 : x
  2. Step 2: Convert to fraction form
    118,209/177,435 = 177,435/x
  3. Step 3: Cross multiply
    118,209x = 177,435 × 177,435
  4. Step 4: Simplify right side
    118,209x = 31,483,179,225
  5. Step 5: Solve for x
    x = 31,483,179,225/118,209
  6. Step 6: Final answer
    x = 266,334.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.