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Finding the Third Proportional to 94,592 and 207,616

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Solution

The third proportional to 94,592 and 207,616 is: 455,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,592 : 207,616 = 207,616 : x
  2. Step 2: Convert to fraction form
    94,592/207,616 = 207,616/x
  3. Step 3: Cross multiply
    94,592x = 207,616 × 207,616
  4. Step 4: Simplify right side
    94,592x = 43,104,403,456
  5. Step 5: Solve for x
    x = 43,104,403,456/94,592
  6. Step 6: Final answer
    x = 455,687.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.