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Finding the Third Proportional to 200,218 and 431,460

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Solution

The third proportional to 200,218 and 431,460 is: 929,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,218 : 431,460 = 431,460 : x
  2. Step 2: Convert to fraction form
    200,218/431,460 = 431,460/x
  3. Step 3: Cross multiply
    200,218x = 431,460 × 431,460
  4. Step 4: Simplify right side
    200,218x = 186,157,731,600
  5. Step 5: Solve for x
    x = 186,157,731,600/200,218
  6. Step 6: Final answer
    x = 929,775.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.