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Finding the Third Proportional to 393,627 and 626,642

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Solution

The third proportional to 393,627 and 626,642 is: 997,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,627 : 626,642 = 626,642 : x
  2. Step 2: Convert to fraction form
    393,627/626,642 = 626,642/x
  3. Step 3: Cross multiply
    393,627x = 626,642 × 626,642
  4. Step 4: Simplify right side
    393,627x = 392,680,196,164
  5. Step 5: Solve for x
    x = 392,680,196,164/393,627
  6. Step 6: Final answer
    x = 997,594.67

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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.