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Finding the Third Proportional to 200,287 and 309,261

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Solution

The third proportional to 200,287 and 309,261 is: 477,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,287 : 309,261 = 309,261 : x
  2. Step 2: Convert to fraction form
    200,287/309,261 = 309,261/x
  3. Step 3: Cross multiply
    200,287x = 309,261 × 309,261
  4. Step 4: Simplify right side
    200,287x = 95,642,366,121
  5. Step 5: Solve for x
    x = 95,642,366,121/200,287
  6. Step 6: Final answer
    x = 477,526.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.