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Finding the Third Proportional to 300,492 and 612,117

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Solution

The third proportional to 300,492 and 612,117 is: 1,246,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,492 : 612,117 = 612,117 : x
  2. Step 2: Convert to fraction form
    300,492/612,117 = 612,117/x
  3. Step 3: Cross multiply
    300,492x = 612,117 × 612,117
  4. Step 4: Simplify right side
    300,492x = 374,687,221,689
  5. Step 5: Solve for x
    x = 374,687,221,689/300,492
  6. Step 6: Final answer
    x = 1,246,912.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.