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Finding the Third Proportional to 438,744 and 663,516

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Solution

The third proportional to 438,744 and 663,516 is: 1,003,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,744 : 663,516 = 663,516 : x
  2. Step 2: Convert to fraction form
    438,744/663,516 = 663,516/x
  3. Step 3: Cross multiply
    438,744x = 663,516 × 663,516
  4. Step 4: Simplify right side
    438,744x = 440,253,482,256
  5. Step 5: Solve for x
    x = 440,253,482,256/438,744
  6. Step 6: Final answer
    x = 1,003,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.