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Finding the Third Proportional to 208,431 and 439,830

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Solution

The third proportional to 208,431 and 439,830 is: 928,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,431 : 439,830 = 439,830 : x
  2. Step 2: Convert to fraction form
    208,431/439,830 = 439,830/x
  3. Step 3: Cross multiply
    208,431x = 439,830 × 439,830
  4. Step 4: Simplify right side
    208,431x = 193,450,428,900
  5. Step 5: Solve for x
    x = 193,450,428,900/208,431
  6. Step 6: Final answer
    x = 928,126.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.