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Finding the Third Proportional to 513,706.50 and 818,131.50

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Solution

The third proportional to 513,706.50 and 818,131.50 is: 1,302,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,706.50 : 818,131.50 = 818,131.50 : x
  2. Step 2: Convert to fraction form
    513,706.50/818,131.50 = 818,131.50/x
  3. Step 3: Cross multiply
    513,706.50x = 818,131.50 × 818,131.50
  4. Step 4: Simplify right side
    513,706.50x = 669,339,151,292.25
  5. Step 5: Solve for x
    x = 669,339,151,292.25/513,706.50
  6. Step 6: Final answer
    x = 1,302,960.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.