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Finding the Third Proportional to 438,648 and 956,620

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Solution

The third proportional to 438,648 and 956,620 is: 2,086,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,648 : 956,620 = 956,620 : x
  2. Step 2: Convert to fraction form
    438,648/956,620 = 956,620/x
  3. Step 3: Cross multiply
    438,648x = 956,620 × 956,620
  4. Step 4: Simplify right side
    438,648x = 915,121,824,400
  5. Step 5: Solve for x
    x = 915,121,824,400/438,648
  6. Step 6: Final answer
    x = 2,086,232.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.