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Finding the Third Proportional to 318,368 and 481,650

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Solution

The third proportional to 318,368 and 481,650 is: 728,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,368 : 481,650 = 481,650 : x
  2. Step 2: Convert to fraction form
    318,368/481,650 = 481,650/x
  3. Step 3: Cross multiply
    318,368x = 481,650 × 481,650
  4. Step 4: Simplify right side
    318,368x = 231,986,722,500
  5. Step 5: Solve for x
    x = 231,986,722,500/318,368
  6. Step 6: Final answer
    x = 728,674.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.