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Finding the Third Proportional to 143,385 and 200,547

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Solution

The third proportional to 143,385 and 200,547 is: 280,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,385 : 200,547 = 200,547 : x
  2. Step 2: Convert to fraction form
    143,385/200,547 = 200,547/x
  3. Step 3: Cross multiply
    143,385x = 200,547 × 200,547
  4. Step 4: Simplify right side
    143,385x = 40,219,099,209
  5. Step 5: Solve for x
    x = 40,219,099,209/143,385
  6. Step 6: Final answer
    x = 280,497.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.