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Finding the Third Proportional to 77,116.50 and 178,509

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Solution

The third proportional to 77,116.50 and 178,509 is: 413,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.50 : 178,509 = 178,509 : x
  2. Step 2: Convert to fraction form
    77,116.50/178,509 = 178,509/x
  3. Step 3: Cross multiply
    77,116.50x = 178,509 × 178,509
  4. Step 4: Simplify right side
    77,116.50x = 31,865,463,081
  5. Step 5: Solve for x
    x = 31,865,463,081/77,116.50
  6. Step 6: Final answer
    x = 413,212.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.