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Finding the Third Proportional to 438,756 and 663,534

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Solution

The third proportional to 438,756 and 663,534 is: 1,003,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,756 : 663,534 = 663,534 : x
  2. Step 2: Convert to fraction form
    438,756/663,534 = 663,534/x
  3. Step 3: Cross multiply
    438,756x = 663,534 × 663,534
  4. Step 4: Simplify right side
    438,756x = 440,277,369,156
  5. Step 5: Solve for x
    x = 440,277,369,156/438,756
  6. Step 6: Final answer
    x = 1,003,467.46

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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.