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Finding the Third Proportional to 201,116 and 311,607.50

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Solution

The third proportional to 201,116 and 311,607.50 is: 482,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116 : 311,607.50 = 311,607.50 : x
  2. Step 2: Convert to fraction form
    201,116/311,607.50 = 311,607.50/x
  3. Step 3: Cross multiply
    201,116x = 311,607.50 × 311,607.50
  4. Step 4: Simplify right side
    201,116x = 97,099,234,056.25
  5. Step 5: Solve for x
    x = 97,099,234,056.25/201,116
  6. Step 6: Final answer
    x = 482,802.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.