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Finding the Third Proportional to 284,266.50 and 621,942

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Solution

The third proportional to 284,266.50 and 621,942 is: 1,360,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,266.50 : 621,942 = 621,942 : x
  2. Step 2: Convert to fraction form
    284,266.50/621,942 = 621,942/x
  3. Step 3: Cross multiply
    284,266.50x = 621,942 × 621,942
  4. Step 4: Simplify right side
    284,266.50x = 386,811,851,364
  5. Step 5: Solve for x
    x = 386,811,851,364/284,266.50
  6. Step 6: Final answer
    x = 1,360,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.