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Finding the Third Proportional to 438,415 and 660,519

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Solution

The third proportional to 438,415 and 660,519 is: 995,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415 : 660,519 = 660,519 : x
  2. Step 2: Convert to fraction form
    438,415/660,519 = 660,519/x
  3. Step 3: Cross multiply
    438,415x = 660,519 × 660,519
  4. Step 4: Simplify right side
    438,415x = 436,285,349,361
  5. Step 5: Solve for x
    x = 436,285,349,361/438,415
  6. Step 6: Final answer
    x = 995,142.39

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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.