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Finding the Third Proportional to 236,313 and 509,730

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Solution

The third proportional to 236,313 and 509,730 is: 1,099,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,313 : 509,730 = 509,730 : x
  2. Step 2: Convert to fraction form
    236,313/509,730 = 509,730/x
  3. Step 3: Cross multiply
    236,313x = 509,730 × 509,730
  4. Step 4: Simplify right side
    236,313x = 259,824,672,900
  5. Step 5: Solve for x
    x = 259,824,672,900/236,313
  6. Step 6: Final answer
    x = 1,099,493.78

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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.