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Finding the Third Proportional to 200,486 and 432,313

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Solution

The third proportional to 200,486 and 432,313 is: 932,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,486 : 432,313 = 432,313 : x
  2. Step 2: Convert to fraction form
    200,486/432,313 = 432,313/x
  3. Step 3: Cross multiply
    200,486x = 432,313 × 432,313
  4. Step 4: Simplify right side
    200,486x = 186,894,529,969
  5. Step 5: Solve for x
    x = 186,894,529,969/200,486
  6. Step 6: Final answer
    x = 932,207.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.