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Finding the Third Proportional to 317,568 and 491,280

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Solution

The third proportional to 317,568 and 491,280 is: 760,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,568 : 491,280 = 491,280 : x
  2. Step 2: Convert to fraction form
    317,568/491,280 = 491,280/x
  3. Step 3: Cross multiply
    317,568x = 491,280 × 491,280
  4. Step 4: Simplify right side
    317,568x = 241,356,038,400
  5. Step 5: Solve for x
    x = 241,356,038,400/317,568
  6. Step 6: Final answer
    x = 760,013.72

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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.