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Finding the Third Proportional to 236,659 and 509,402

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Solution

The third proportional to 236,659 and 509,402 is: 1,096,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,659 : 509,402 = 509,402 : x
  2. Step 2: Convert to fraction form
    236,659/509,402 = 509,402/x
  3. Step 3: Cross multiply
    236,659x = 509,402 × 509,402
  4. Step 4: Simplify right side
    236,659x = 259,490,397,604
  5. Step 5: Solve for x
    x = 259,490,397,604/236,659
  6. Step 6: Final answer
    x = 1,096,473.82

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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.