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Finding the Third Proportional to 78,536 and 118,947

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Solution

The third proportional to 78,536 and 118,947 is: 180,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536 : 118,947 = 118,947 : x
  2. Step 2: Convert to fraction form
    78,536/118,947 = 118,947/x
  3. Step 3: Cross multiply
    78,536x = 118,947 × 118,947
  4. Step 4: Simplify right side
    78,536x = 14,148,388,809
  5. Step 5: Solve for x
    x = 14,148,388,809/78,536
  6. Step 6: Final answer
    x = 180,151.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.