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Finding the Third Proportional to 78,036.75 and 118,509.75

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Solution

The third proportional to 78,036.75 and 118,509.75 is: 179,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.75 : 118,509.75 = 118,509.75 : x
  2. Step 2: Convert to fraction form
    78,036.75/118,509.75 = 118,509.75/x
  3. Step 3: Cross multiply
    78,036.75x = 118,509.75 × 118,509.75
  4. Step 4: Simplify right side
    78,036.75x = 14,044,560,845.06
  5. Step 5: Solve for x
    x = 14,044,560,845.06/78,036.75
  6. Step 6: Final answer
    x = 179,973.68

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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.