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Finding the Third Proportional to 438,414 and 660,518

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Solution

The third proportional to 438,414 and 660,518 is: 995,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,414 : 660,518 = 660,518 : x
  2. Step 2: Convert to fraction form
    438,414/660,518 = 660,518/x
  3. Step 3: Cross multiply
    438,414x = 660,518 × 660,518
  4. Step 4: Simplify right side
    438,414x = 436,284,028,324
  5. Step 5: Solve for x
    x = 436,284,028,324/438,414
  6. Step 6: Final answer
    x = 995,141.64

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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.