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Finding the Third Proportional to 78,238.41 and 118,849.78

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Solution

The third proportional to 78,238.41 and 118,849.78 is: 180,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238.41 : 118,849.78 = 118,849.78 : x
  2. Step 2: Convert to fraction form
    78,238.41/118,849.78 = 118,849.78/x
  3. Step 3: Cross multiply
    78,238.41x = 118,849.78 × 118,849.78
  4. Step 4: Simplify right side
    78,238.41x = 14,125,270,503.17
  5. Step 5: Solve for x
    x = 14,125,270,503.17/78,238.41
  6. Step 6: Final answer
    x = 180,541.39

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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.