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Finding the Third Proportional to 200,492 and 440,386

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Solution

The third proportional to 200,492 and 440,386 is: 967,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492 : 440,386 = 440,386 : x
  2. Step 2: Convert to fraction form
    200,492/440,386 = 440,386/x
  3. Step 3: Cross multiply
    200,492x = 440,386 × 440,386
  4. Step 4: Simplify right side
    200,492x = 193,939,828,996
  5. Step 5: Solve for x
    x = 193,939,828,996/200,492
  6. Step 6: Final answer
    x = 967,319.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.