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Finding the Third Proportional to 136,143 and 199,840.50

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Solution

The third proportional to 136,143 and 199,840.50 is: 293,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,143 : 199,840.50 = 199,840.50 : x
  2. Step 2: Convert to fraction form
    136,143/199,840.50 = 199,840.50/x
  3. Step 3: Cross multiply
    136,143x = 199,840.50 × 199,840.50
  4. Step 4: Simplify right side
    136,143x = 39,936,225,440.25
  5. Step 5: Solve for x
    x = 39,936,225,440.25/136,143
  6. Step 6: Final answer
    x = 293,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.