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Finding the Third Proportional to 203,610 and 317,048

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Solution

The third proportional to 203,610 and 317,048 is: 493,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,610 : 317,048 = 317,048 : x
  2. Step 2: Convert to fraction form
    203,610/317,048 = 317,048/x
  3. Step 3: Cross multiply
    203,610x = 317,048 × 317,048
  4. Step 4: Simplify right side
    203,610x = 100,519,434,304
  5. Step 5: Solve for x
    x = 100,519,434,304/203,610
  6. Step 6: Final answer
    x = 493,686.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.