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Finding the Third Proportional to 407,515 and 890,755

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Solution

The third proportional to 407,515 and 890,755 is: 1,947,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,515 : 890,755 = 890,755 : x
  2. Step 2: Convert to fraction form
    407,515/890,755 = 890,755/x
  3. Step 3: Cross multiply
    407,515x = 890,755 × 890,755
  4. Step 4: Simplify right side
    407,515x = 793,444,470,025
  5. Step 5: Solve for x
    x = 793,444,470,025/407,515
  6. Step 6: Final answer
    x = 1,947,031.32

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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.