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Finding the Third Proportional to 100,969 and 208,507

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Solution

The third proportional to 100,969 and 208,507 is: 430,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969 : 208,507 = 208,507 : x
  2. Step 2: Convert to fraction form
    100,969/208,507 = 208,507/x
  3. Step 3: Cross multiply
    100,969x = 208,507 × 208,507
  4. Step 4: Simplify right side
    100,969x = 43,475,169,049
  5. Step 5: Solve for x
    x = 43,475,169,049/100,969
  6. Step 6: Final answer
    x = 430,579.38

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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.