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Finding the Third Proportional to 77,141 and 117,341

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Solution

The third proportional to 77,141 and 117,341 is: 178,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141 : 117,341 = 117,341 : x
  2. Step 2: Convert to fraction form
    77,141/117,341 = 117,341/x
  3. Step 3: Cross multiply
    77,141x = 117,341 × 117,341
  4. Step 4: Simplify right side
    77,141x = 13,768,910,281
  5. Step 5: Solve for x
    x = 13,768,910,281/77,141
  6. Step 6: Final answer
    x = 178,490.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.