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Finding the Third Proportional to 133,695 and 200,547

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Solution

The third proportional to 133,695 and 200,547 is: 300,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695 : 200,547 = 200,547 : x
  2. Step 2: Convert to fraction form
    133,695/200,547 = 200,547/x
  3. Step 3: Cross multiply
    133,695x = 200,547 × 200,547
  4. Step 4: Simplify right side
    133,695x = 40,219,099,209
  5. Step 5: Solve for x
    x = 40,219,099,209/133,695
  6. Step 6: Final answer
    x = 300,827.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.