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Finding the Third Proportional to 235,921 and 513,315

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Solution

The third proportional to 235,921 and 513,315 is: 1,116,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,921 : 513,315 = 513,315 : x
  2. Step 2: Convert to fraction form
    235,921/513,315 = 513,315/x
  3. Step 3: Cross multiply
    235,921x = 513,315 × 513,315
  4. Step 4: Simplify right side
    235,921x = 263,492,289,225
  5. Step 5: Solve for x
    x = 263,492,289,225/235,921
  6. Step 6: Final answer
    x = 1,116,866.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.