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Finding the Third Proportional to 439,344 and 657,504

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Solution

The third proportional to 439,344 and 657,504 is: 983,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,344 : 657,504 = 657,504 : x
  2. Step 2: Convert to fraction form
    439,344/657,504 = 657,504/x
  3. Step 3: Cross multiply
    439,344x = 657,504 × 657,504
  4. Step 4: Simplify right side
    439,344x = 432,311,510,016
  5. Step 5: Solve for x
    x = 432,311,510,016/439,344
  6. Step 6: Final answer
    x = 983,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.