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Finding the Third Proportional to 91,020 and 199,536

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Solution

The third proportional to 91,020 and 199,536 is: 437,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,020 : 199,536 = 199,536 : x
  2. Step 2: Convert to fraction form
    91,020/199,536 = 199,536/x
  3. Step 3: Cross multiply
    91,020x = 199,536 × 199,536
  4. Step 4: Simplify right side
    91,020x = 39,814,615,296
  5. Step 5: Solve for x
    x = 39,814,615,296/91,020
  6. Step 6: Final answer
    x = 437,427.11

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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.