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Finding the Third Proportional to 383,688 and 843,516

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Solution

The third proportional to 383,688 and 843,516 is: 1,854,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,688 : 843,516 = 843,516 : x
  2. Step 2: Convert to fraction form
    383,688/843,516 = 843,516/x
  3. Step 3: Cross multiply
    383,688x = 843,516 × 843,516
  4. Step 4: Simplify right side
    383,688x = 711,519,242,256
  5. Step 5: Solve for x
    x = 711,519,242,256/383,688
  6. Step 6: Final answer
    x = 1,854,421.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.