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Finding the Third Proportional to 385,988 and 850,505

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Solution

The third proportional to 385,988 and 850,505 is: 1,874,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,988 : 850,505 = 850,505 : x
  2. Step 2: Convert to fraction form
    385,988/850,505 = 850,505/x
  3. Step 3: Cross multiply
    385,988x = 850,505 × 850,505
  4. Step 4: Simplify right side
    385,988x = 723,358,755,025
  5. Step 5: Solve for x
    x = 723,358,755,025/385,988
  6. Step 6: Final answer
    x = 1,874,044.67

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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.