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Finding the Third Proportional to 438,242 and 920,752

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Solution

The third proportional to 438,242 and 920,752 is: 1,934,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,242 : 920,752 = 920,752 : x
  2. Step 2: Convert to fraction form
    438,242/920,752 = 920,752/x
  3. Step 3: Cross multiply
    438,242x = 920,752 × 920,752
  4. Step 4: Simplify right side
    438,242x = 847,784,245,504
  5. Step 5: Solve for x
    x = 847,784,245,504/438,242
  6. Step 6: Final answer
    x = 1,934,511.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.