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Finding the Third Proportional to 56,136.50 and 66,516

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Solution

The third proportional to 56,136.50 and 66,516 is: 78,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136.50 : 66,516 = 66,516 : x
  2. Step 2: Convert to fraction form
    56,136.50/66,516 = 66,516/x
  3. Step 3: Cross multiply
    56,136.50x = 66,516 × 66,516
  4. Step 4: Simplify right side
    56,136.50x = 4,424,378,256
  5. Step 5: Solve for x
    x = 4,424,378,256/56,136.50
  6. Step 6: Final answer
    x = 78,814.64

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.