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Finding the Third Proportional to 208,620 and 427,156

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Solution

The third proportional to 208,620 and 427,156 is: 874,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,620 : 427,156 = 427,156 : x
  2. Step 2: Convert to fraction form
    208,620/427,156 = 427,156/x
  3. Step 3: Cross multiply
    208,620x = 427,156 × 427,156
  4. Step 4: Simplify right side
    208,620x = 182,462,248,336
  5. Step 5: Solve for x
    x = 182,462,248,336/208,620
  6. Step 6: Final answer
    x = 874,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.