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Finding the Third Proportional to 331,534 and 509,886

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Solution

The third proportional to 331,534 and 509,886 is: 784,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,534 : 509,886 = 509,886 : x
  2. Step 2: Convert to fraction form
    331,534/509,886 = 509,886/x
  3. Step 3: Cross multiply
    331,534x = 509,886 × 509,886
  4. Step 4: Simplify right side
    331,534x = 259,983,732,996
  5. Step 5: Solve for x
    x = 259,983,732,996/331,534
  6. Step 6: Final answer
    x = 784,184.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.