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Finding the Third Proportional to 118,213 and 177,438

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Solution

The third proportional to 118,213 and 177,438 is: 266,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,213 : 177,438 = 177,438 : x
  2. Step 2: Convert to fraction form
    118,213/177,438 = 177,438/x
  3. Step 3: Cross multiply
    118,213x = 177,438 × 177,438
  4. Step 4: Simplify right side
    118,213x = 31,484,243,844
  5. Step 5: Solve for x
    x = 31,484,243,844/118,213
  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.