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Finding the Third Proportional to 129,255 and 186,166.50

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Solution

The third proportional to 129,255 and 186,166.50 is: 268,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255 : 186,166.50 = 186,166.50 : x
  2. Step 2: Convert to fraction form
    129,255/186,166.50 = 186,166.50/x
  3. Step 3: Cross multiply
    129,255x = 186,166.50 × 186,166.50
  4. Step 4: Simplify right side
    129,255x = 34,657,965,722.25
  5. Step 5: Solve for x
    x = 34,657,965,722.25/129,255
  6. Step 6: Final answer
    x = 268,136.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.