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Finding the Third Proportional to 77,824.50 and 118,285.50

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Solution

The third proportional to 77,824.50 and 118,285.50 is: 179,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,824.50 : 118,285.50 = 118,285.50 : x
  2. Step 2: Convert to fraction form
    77,824.50/118,285.50 = 118,285.50/x
  3. Step 3: Cross multiply
    77,824.50x = 118,285.50 × 118,285.50
  4. Step 4: Simplify right side
    77,824.50x = 13,991,459,510.25
  5. Step 5: Solve for x
    x = 13,991,459,510.25/77,824.50
  6. Step 6: Final answer
    x = 179,782.20

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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.