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Finding the Third Proportional to 312,122 and 663,124

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Solution

The third proportional to 312,122 and 663,124 is: 1,408,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,122 : 663,124 = 663,124 : x
  2. Step 2: Convert to fraction form
    312,122/663,124 = 663,124/x
  3. Step 3: Cross multiply
    312,122x = 663,124 × 663,124
  4. Step 4: Simplify right side
    312,122x = 439,733,439,376
  5. Step 5: Solve for x
    x = 439,733,439,376/312,122
  6. Step 6: Final answer
    x = 1,408,851.15

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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.