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Finding the Third Proportional to 77,984.75 and 159,664

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Solution

The third proportional to 77,984.75 and 159,664 is: 326,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984.75 : 159,664 = 159,664 : x
  2. Step 2: Convert to fraction form
    77,984.75/159,664 = 159,664/x
  3. Step 3: Cross multiply
    77,984.75x = 159,664 × 159,664
  4. Step 4: Simplify right side
    77,984.75x = 25,492,592,896
  5. Step 5: Solve for x
    x = 25,492,592,896/77,984.75
  6. Step 6: Final answer
    x = 326,892.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.