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Finding the Third Proportional to 127,974 and 199,209

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Solution

The third proportional to 127,974 and 199,209 is: 310,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,974 : 199,209 = 199,209 : x
  2. Step 2: Convert to fraction form
    127,974/199,209 = 199,209/x
  3. Step 3: Cross multiply
    127,974x = 199,209 × 199,209
  4. Step 4: Simplify right side
    127,974x = 39,684,225,681
  5. Step 5: Solve for x
    x = 39,684,225,681/127,974
  6. Step 6: Final answer
    x = 310,096.00

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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.