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Finding the Third Proportional to 43,698 and 65,909

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Solution

The third proportional to 43,698 and 65,909 is: 99,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 65,909 = 65,909 : x
  2. Step 2: Convert to fraction form
    43,698/65,909 = 65,909/x
  3. Step 3: Cross multiply
    43,698x = 65,909 × 65,909
  4. Step 4: Simplify right side
    43,698x = 4,343,996,281
  5. Step 5: Solve for x
    x = 4,343,996,281/43,698
  6. Step 6: Final answer
    x = 99,409.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.