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Finding the Third Proportional to 317,688 and 493,958

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Solution

The third proportional to 317,688 and 493,958 is: 768,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,688 : 493,958 = 493,958 : x
  2. Step 2: Convert to fraction form
    317,688/493,958 = 493,958/x
  3. Step 3: Cross multiply
    317,688x = 493,958 × 493,958
  4. Step 4: Simplify right side
    317,688x = 243,994,505,764
  5. Step 5: Solve for x
    x = 243,994,505,764/317,688
  6. Step 6: Final answer
    x = 768,031.86

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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.