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Finding the Third Proportional to 99,420 and 205,536

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Solution

The third proportional to 99,420 and 205,536 is: 424,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420 : 205,536 = 205,536 : x
  2. Step 2: Convert to fraction form
    99,420/205,536 = 205,536/x
  3. Step 3: Cross multiply
    99,420x = 205,536 × 205,536
  4. Step 4: Simplify right side
    99,420x = 42,245,047,296
  5. Step 5: Solve for x
    x = 42,245,047,296/99,420
  6. Step 6: Final answer
    x = 424,914.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.