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Finding the Third Proportional to 438,778 and 949,520

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Solution

The third proportional to 438,778 and 949,520 is: 2,054,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,778 : 949,520 = 949,520 : x
  2. Step 2: Convert to fraction form
    438,778/949,520 = 949,520/x
  3. Step 3: Cross multiply
    438,778x = 949,520 × 949,520
  4. Step 4: Simplify right side
    438,778x = 901,588,230,400
  5. Step 5: Solve for x
    x = 901,588,230,400/438,778
  6. Step 6: Final answer
    x = 2,054,770.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.