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Finding the Third Proportional to 298,492 and 645,100

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Solution

The third proportional to 298,492 and 645,100 is: 1,394,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,492 : 645,100 = 645,100 : x
  2. Step 2: Convert to fraction form
    298,492/645,100 = 645,100/x
  3. Step 3: Cross multiply
    298,492x = 645,100 × 645,100
  4. Step 4: Simplify right side
    298,492x = 416,154,010,000
  5. Step 5: Solve for x
    x = 416,154,010,000/298,492
  6. Step 6: Final answer
    x = 1,394,188.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.