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Finding the Third Proportional to 317,664 and 493,920

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Solution

The third proportional to 317,664 and 493,920 is: 767,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,664 : 493,920 = 493,920 : x
  2. Step 2: Convert to fraction form
    317,664/493,920 = 493,920/x
  3. Step 3: Cross multiply
    317,664x = 493,920 × 493,920
  4. Step 4: Simplify right side
    317,664x = 243,956,966,400
  5. Step 5: Solve for x
    x = 243,956,966,400/317,664
  6. Step 6: Final answer
    x = 767,971.71

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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.