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Finding the Third Proportional to 438,762 and 663,543

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Solution

The third proportional to 438,762 and 663,543 is: 1,003,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,762 : 663,543 = 663,543 : x
  2. Step 2: Convert to fraction form
    438,762/663,543 = 663,543/x
  3. Step 3: Cross multiply
    438,762x = 663,543 × 663,543
  4. Step 4: Simplify right side
    438,762x = 440,289,312,849
  5. Step 5: Solve for x
    x = 440,289,312,849/438,762
  6. Step 6: Final answer
    x = 1,003,480.96

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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.