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Finding the Third Proportional to 431,519 and 908,532

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Solution

The third proportional to 431,519 and 908,532 is: 1,912,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,519 : 908,532 = 908,532 : x
  2. Step 2: Convert to fraction form
    431,519/908,532 = 908,532/x
  3. Step 3: Cross multiply
    431,519x = 908,532 × 908,532
  4. Step 4: Simplify right side
    431,519x = 825,430,395,024
  5. Step 5: Solve for x
    x = 825,430,395,024/431,519
  6. Step 6: Final answer
    x = 1,912,848.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.