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Finding the Third Proportional to 213,669 and 317,209.50

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Solution

The third proportional to 213,669 and 317,209.50 is: 470,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,669 : 317,209.50 = 317,209.50 : x
  2. Step 2: Convert to fraction form
    213,669/317,209.50 = 317,209.50/x
  3. Step 3: Cross multiply
    213,669x = 317,209.50 × 317,209.50
  4. Step 4: Simplify right side
    213,669x = 100,621,866,890.25
  5. Step 5: Solve for x
    x = 100,621,866,890.25/213,669
  6. Step 6: Final answer
    x = 470,924.03

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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.