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Finding the Third Proportional to 201,303 and 411,345

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Solution

The third proportional to 201,303 and 411,345 is: 840,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,303 : 411,345 = 411,345 : x
  2. Step 2: Convert to fraction form
    201,303/411,345 = 411,345/x
  3. Step 3: Cross multiply
    201,303x = 411,345 × 411,345
  4. Step 4: Simplify right side
    201,303x = 169,204,709,025
  5. Step 5: Solve for x
    x = 169,204,709,025/201,303
  6. Step 6: Final answer
    x = 840,547.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.