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Finding the Third Proportional to 438,728 and 663,492

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Solution

The third proportional to 438,728 and 663,492 is: 1,003,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,728 : 663,492 = 663,492 : x
  2. Step 2: Convert to fraction form
    438,728/663,492 = 663,492/x
  3. Step 3: Cross multiply
    438,728x = 663,492 × 663,492
  4. Step 4: Simplify right side
    438,728x = 440,221,634,064
  5. Step 5: Solve for x
    x = 440,221,634,064/438,728
  6. Step 6: Final answer
    x = 1,003,404.46

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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.