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Finding the Third Proportional to 89,278 and 118,485

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Solution

The third proportional to 89,278 and 118,485 is: 157,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278 : 118,485 = 118,485 : x
  2. Step 2: Convert to fraction form
    89,278/118,485 = 118,485/x
  3. Step 3: Cross multiply
    89,278x = 118,485 × 118,485
  4. Step 4: Simplify right side
    89,278x = 14,038,695,225
  5. Step 5: Solve for x
    x = 14,038,695,225/89,278
  6. Step 6: Final answer
    x = 157,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.