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Finding the Third Proportional to 127,209 and 197,817

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Solution

The third proportional to 127,209 and 197,817 is: 307,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,209 : 197,817 = 197,817 : x
  2. Step 2: Convert to fraction form
    127,209/197,817 = 197,817/x
  3. Step 3: Cross multiply
    127,209x = 197,817 × 197,817
  4. Step 4: Simplify right side
    127,209x = 39,131,565,489
  5. Step 5: Solve for x
    x = 39,131,565,489/127,209
  6. Step 6: Final answer
    x = 307,616.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.