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Finding the Third Proportional to 312,186 and 663,246

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Solution

The third proportional to 312,186 and 663,246 is: 1,409,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,186 : 663,246 = 663,246 : x
  2. Step 2: Convert to fraction form
    312,186/663,246 = 663,246/x
  3. Step 3: Cross multiply
    312,186x = 663,246 × 663,246
  4. Step 4: Simplify right side
    312,186x = 439,895,256,516
  5. Step 5: Solve for x
    x = 439,895,256,516/312,186
  6. Step 6: Final answer
    x = 1,409,080.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.