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Finding the Third Proportional to 213,585 and 317,085

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Solution

The third proportional to 213,585 and 317,085 is: 470,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,585 : 317,085 = 317,085 : x
  2. Step 2: Convert to fraction form
    213,585/317,085 = 317,085/x
  3. Step 3: Cross multiply
    213,585x = 317,085 × 317,085
  4. Step 4: Simplify right side
    213,585x = 100,542,897,225
  5. Step 5: Solve for x
    x = 100,542,897,225/213,585
  6. Step 6: Final answer
    x = 470,739.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.