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Finding the Third Proportional to 317,700 and 493,974

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Solution

The third proportional to 317,700 and 493,974 is: 768,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,700 : 493,974 = 493,974 : x
  2. Step 2: Convert to fraction form
    317,700/493,974 = 493,974/x
  3. Step 3: Cross multiply
    317,700x = 493,974 × 493,974
  4. Step 4: Simplify right side
    317,700x = 244,010,312,676
  5. Step 5: Solve for x
    x = 244,010,312,676/317,700
  6. Step 6: Final answer
    x = 768,052.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.