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Finding the Third Proportional to 211,641.50 and 288,214.25

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Solution

The third proportional to 211,641.50 and 288,214.25 is: 392,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,641.50 : 288,214.25 = 288,214.25 : x
  2. Step 2: Convert to fraction form
    211,641.50/288,214.25 = 288,214.25/x
  3. Step 3: Cross multiply
    211,641.50x = 288,214.25 × 288,214.25
  4. Step 4: Simplify right side
    211,641.50x = 83,067,453,903.06
  5. Step 5: Solve for x
    x = 83,067,453,903.06/211,641.50
  6. Step 6: Final answer
    x = 392,491.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.