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Finding the Third Proportional to 208,076 and 449,320

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Solution

The third proportional to 208,076 and 449,320 is: 970,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076 : 449,320 = 449,320 : x
  2. Step 2: Convert to fraction form
    208,076/449,320 = 449,320/x
  3. Step 3: Cross multiply
    208,076x = 449,320 × 449,320
  4. Step 4: Simplify right side
    208,076x = 201,888,462,400
  5. Step 5: Solve for x
    x = 201,888,462,400/208,076
  6. Step 6: Final answer
    x = 970,263.09

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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.